id sid tid token lemma pos cord-340375-lhv83zac 1 1 key key NN cord-340375-lhv83zac 1 2 : : : cord-340375-lhv83zac 1 3 cord-340375-lhv83zac cord-340375-lhv83zac NNP cord-340375-lhv83zac 1 4 authors author NNS cord-340375-lhv83zac 1 5 : : : cord-340375-lhv83zac 1 6 Bliznashki Bliznashki NNP cord-340375-lhv83zac 1 7 , , , cord-340375-lhv83zac 1 8 Svetoslav Svetoslav NNP cord-340375-lhv83zac 1 9 title title NN cord-340375-lhv83zac 1 10 : : : cord-340375-lhv83zac 1 11 A a DT cord-340375-lhv83zac 1 12 Bayesian Bayesian NNP cord-340375-lhv83zac 1 13 Logistic Logistic NNP cord-340375-lhv83zac 1 14 Growth Growth NNP cord-340375-lhv83zac 1 15 Model Model NNP cord-340375-lhv83zac 1 16 for for IN cord-340375-lhv83zac 1 17 the the DT cord-340375-lhv83zac 1 18 Spread Spread NNP cord-340375-lhv83zac 1 19 of of IN cord-340375-lhv83zac 1 20 COVID-19 COVID-19 NNP cord-340375-lhv83zac 1 21 in in IN cord-340375-lhv83zac 1 22 New New NNP cord-340375-lhv83zac 1 23 York York NNP cord-340375-lhv83zac 1 24 date date NN cord-340375-lhv83zac 1 25 : : : cord-340375-lhv83zac 1 26 2020 2020 CD cord-340375-lhv83zac 1 27 - - HYPH cord-340375-lhv83zac 1 28 04 04 CD cord-340375-lhv83zac 1 29 - - HYPH cord-340375-lhv83zac 1 30 07 07 CD cord-340375-lhv83zac 1 31 journal journal NN cord-340375-lhv83zac 1 32 : : : cord-340375-lhv83zac 1 33 nan nan NNP cord-340375-lhv83zac 1 34 DOI DOI NNP cord-340375-lhv83zac 1 35 : : : cord-340375-lhv83zac 2 1 10.1101/2020.04.05.20054577 10.1101/2020.04.05.20054577 CD cord-340375-lhv83zac 3 1 sha sha NNP cord-340375-lhv83zac 3 2 : : : cord-340375-lhv83zac 3 3 cbde80d83d9b50685434766778f1b84cbe2d9a56 cbde80d83d9b50685434766778f1b84cbe2d9a56 . cord-340375-lhv83zac 4 1 doc_id doc_id CD cord-340375-lhv83zac 5 1 : : : cord-340375-lhv83zac 5 2 340375 340375 CD cord-340375-lhv83zac 5 3 cord_uid cord_uid NNS cord-340375-lhv83zac 5 4 : : : cord-340375-lhv83zac 6 1 lhv83zac lhv83zac NNP cord-340375-lhv83zac 6 2 We -PRON- PRP cord-340375-lhv83zac 6 3 use use VBP cord-340375-lhv83zac 6 4 Bayesian Bayesian NNP cord-340375-lhv83zac 6 5 Estimation Estimation NNP cord-340375-lhv83zac 6 6 for for IN cord-340375-lhv83zac 6 7 the the DT cord-340375-lhv83zac 6 8 logistic logistic JJ cord-340375-lhv83zac 6 9 growth growth NN cord-340375-lhv83zac 6 10 model model NN cord-340375-lhv83zac 6 11 in in IN cord-340375-lhv83zac 6 12 order order NN cord-340375-lhv83zac 6 13 to to TO cord-340375-lhv83zac 6 14 estimate estimate VB cord-340375-lhv83zac 6 15 the the DT cord-340375-lhv83zac 6 16 spread spread NN cord-340375-lhv83zac 6 17 of of IN cord-340375-lhv83zac 6 18 the the DT cord-340375-lhv83zac 6 19 coronavirus coronavirus NN cord-340375-lhv83zac 6 20 epidemic epidemic NN cord-340375-lhv83zac 6 21 in in IN cord-340375-lhv83zac 6 22 the the DT cord-340375-lhv83zac 6 23 state state NN cord-340375-lhv83zac 6 24 of of IN cord-340375-lhv83zac 6 25 New New NNP cord-340375-lhv83zac 6 26 York York NNP cord-340375-lhv83zac 6 27 . . . cord-340375-lhv83zac 7 1 Models model NNS cord-340375-lhv83zac 7 2 weighting weight VBG cord-340375-lhv83zac 7 3 all all DT cord-340375-lhv83zac 7 4 data datum NNS cord-340375-lhv83zac 7 5 points point NNS cord-340375-lhv83zac 7 6 equally equally RB cord-340375-lhv83zac 7 7 as as RB cord-340375-lhv83zac 7 8 well well RB cord-340375-lhv83zac 7 9 as as IN cord-340375-lhv83zac 7 10 models model NNS cord-340375-lhv83zac 7 11 with with IN cord-340375-lhv83zac 7 12 normal normal JJ cord-340375-lhv83zac 7 13 error error NN cord-340375-lhv83zac 7 14 structure structure NN cord-340375-lhv83zac 7 15 prove prove VBP cord-340375-lhv83zac 7 16 inadequate inadequate JJ cord-340375-lhv83zac 7 17 to to TO cord-340375-lhv83zac 7 18 model model VB cord-340375-lhv83zac 7 19 the the DT cord-340375-lhv83zac 7 20 process process NN cord-340375-lhv83zac 7 21 accurately accurately RB cord-340375-lhv83zac 7 22 . . . cord-340375-lhv83zac 8 1 On on IN cord-340375-lhv83zac 8 2 the the DT cord-340375-lhv83zac 8 3 other other JJ cord-340375-lhv83zac 8 4 hand hand NN cord-340375-lhv83zac 8 5 , , , cord-340375-lhv83zac 8 6 a a DT cord-340375-lhv83zac 8 7 model model NN cord-340375-lhv83zac 8 8 with with IN cord-340375-lhv83zac 8 9 larger large JJR cord-340375-lhv83zac 8 10 weights weight NNS cord-340375-lhv83zac 8 11 for for IN cord-340375-lhv83zac 8 12 more more JJR cord-340375-lhv83zac 8 13 recent recent JJ cord-340375-lhv83zac 8 14 data data NN cord-340375-lhv83zac 8 15 points point NNS cord-340375-lhv83zac 8 16 and and CC cord-340375-lhv83zac 8 17 with with IN cord-340375-lhv83zac 8 18 t t NN cord-340375-lhv83zac 8 19 - - HYPH cord-340375-lhv83zac 8 20 distributed distribute VBN cord-340375-lhv83zac 8 21 errors error NNS cord-340375-lhv83zac 8 22 seems seem VBZ cord-340375-lhv83zac 8 23 reasonably reasonably RB cord-340375-lhv83zac 8 24 capable capable JJ cord-340375-lhv83zac 8 25 of of IN cord-340375-lhv83zac 8 26 making make VBG cord-340375-lhv83zac 8 27 at at IN cord-340375-lhv83zac 8 28 least least JJS cord-340375-lhv83zac 8 29 short short JJ cord-340375-lhv83zac 8 30 term term NN cord-340375-lhv83zac 8 31 predictions prediction NNS cord-340375-lhv83zac 8 32 . . . cord-340375-lhv83zac 9 1 1 1 LS cord-340375-lhv83zac 9 2 . . . cord-340375-lhv83zac 10 1 Introduction introduction NN cord-340375-lhv83zac 10 2 . . . cord-340375-lhv83zac 11 1 The the DT cord-340375-lhv83zac 11 2 logistic logistic JJ cord-340375-lhv83zac 11 3 growth growth NN cord-340375-lhv83zac 11 4 model model NN cord-340375-lhv83zac 11 5 is be VBZ cord-340375-lhv83zac 11 6 frequently frequently RB cord-340375-lhv83zac 11 7 used use VBN cord-340375-lhv83zac 11 8 in in IN cord-340375-lhv83zac 11 9 order order NN cord-340375-lhv83zac 11 10 to to TO cord-340375-lhv83zac 11 11 model model VB cord-340375-lhv83zac 11 12 the the DT cord-340375-lhv83zac 11 13 spread spread NN cord-340375-lhv83zac 11 14 of of IN cord-340375-lhv83zac 11 15 viral viral JJ cord-340375-lhv83zac 11 16 diseases disease NNS cord-340375-lhv83zac 11 17 and and CC cord-340375-lhv83zac 11 18 of of IN cord-340375-lhv83zac 11 19 covid-19 covid-19 NNP cord-340375-lhv83zac 11 20 in in IN cord-340375-lhv83zac 11 21 particular particular JJ cord-340375-lhv83zac 12 1 ( ( -LRB- cord-340375-lhv83zac 12 2 e.g. e.g. RB cord-340375-lhv83zac 12 3 Batista Batista NNP cord-340375-lhv83zac 12 4 , , , cord-340375-lhv83zac 12 5 2020 2020 CD cord-340375-lhv83zac 12 6 ; ; . cord-340375-lhv83zac 13 1 Wu Wu NNP cord-340375-lhv83zac 13 2 et et NNP cord-340375-lhv83zac 13 3 al al NNP cord-340375-lhv83zac 13 4 . . NNP cord-340375-lhv83zac 13 5 , , , cord-340375-lhv83zac 13 6 2020 2020 CD cord-340375-lhv83zac 13 7 ) ) -RRB- cord-340375-lhv83zac 13 8 . . . cord-340375-lhv83zac 14 1 The the DT cord-340375-lhv83zac 14 2 differential differential JJ cord-340375-lhv83zac 14 3 equation equation NN cord-340375-lhv83zac 14 4 is be VBZ cord-340375-lhv83zac 14 5 given give VBN cord-340375-lhv83zac 14 6 in in IN cord-340375-lhv83zac 14 7 ( ( -LRB- cord-340375-lhv83zac 14 8 1 1 CD cord-340375-lhv83zac 14 9 ) ) -RRB- cord-340375-lhv83zac 14 10 : : : cord-340375-lhv83zac 15 1 where where WRB cord-340375-lhv83zac 15 2 C C NNP cord-340375-lhv83zac 15 3 is be VBZ cord-340375-lhv83zac 15 4 the the DT cord-340375-lhv83zac 15 5 cumulative cumulative JJ cord-340375-lhv83zac 15 6 number number NN cord-340375-lhv83zac 15 7 of of IN cord-340375-lhv83zac 15 8 infected infected JJ cord-340375-lhv83zac 15 9 individuals individual NNS cord-340375-lhv83zac 15 10 , , , cord-340375-lhv83zac 15 11 r r NNP cord-340375-lhv83zac 15 12 is be VBZ cord-340375-lhv83zac 15 13 the the DT cord-340375-lhv83zac 15 14 infection infection NN cord-340375-lhv83zac 15 15 rate rate NN cord-340375-lhv83zac 15 16 , , , cord-340375-lhv83zac 15 17 and and CC cord-340375-lhv83zac 15 18 K K NNP cord-340375-lhv83zac 15 19 is be VBZ cord-340375-lhv83zac 15 20 the the DT cord-340375-lhv83zac 15 21 upper upper JJ cord-340375-lhv83zac 15 22 asymptote asymptote NN cord-340375-lhv83zac 15 23 ( ( -LRB- cord-340375-lhv83zac 15 24 i.e. i.e. FW cord-340375-lhv83zac 15 25 the the DT cord-340375-lhv83zac 15 26 upper upper JJ cord-340375-lhv83zac 15 27 limit limit NN cord-340375-lhv83zac 15 28 of of IN cord-340375-lhv83zac 15 29 individuals individual NNS cord-340375-lhv83zac 15 30 infected infect VBN cord-340375-lhv83zac 15 31 during during IN cord-340375-lhv83zac 15 32 the the DT cord-340375-lhv83zac 15 33 epidemic epidemic NN cord-340375-lhv83zac 15 34 ) ) -RRB- cord-340375-lhv83zac 15 35 . . . cord-340375-lhv83zac 16 1 Unlike unlike IN cord-340375-lhv83zac 16 2 other other JJ cord-340375-lhv83zac 16 3 models model NNS cord-340375-lhv83zac 16 4 , , , cord-340375-lhv83zac 16 5 like like IN cord-340375-lhv83zac 16 6 SIR SIR NNP cord-340375-lhv83zac 16 7 , , , cord-340375-lhv83zac 16 8 Eq Eq NNP cord-340375-lhv83zac 16 9 . . . cord-340375-lhv83zac 17 1 1 1 CD cord-340375-lhv83zac 17 2 has have VBZ cord-340375-lhv83zac 17 3 an an DT cord-340375-lhv83zac 17 4 explicit explicit JJ cord-340375-lhv83zac 17 5 analytical analytical JJ cord-340375-lhv83zac 17 6 solution solution NN cord-340375-lhv83zac 17 7 : : : cord-340375-lhv83zac 17 8 ( ( -LRB- cord-340375-lhv83zac 17 9 ) ) -RRB- cord-340375-lhv83zac 17 10 where where WRB cord-340375-lhv83zac 17 11 A=(K A=(K NNP cord-340375-lhv83zac 17 12 - - HYPH cord-340375-lhv83zac 17 13 C C NNP cord-340375-lhv83zac 17 14 0 0 CD cord-340375-lhv83zac 17 15 ) ) -RRB- cord-340375-lhv83zac 17 16 /C /c NN cord-340375-lhv83zac 17 17 0 0 CD cord-340375-lhv83zac 17 18 and and CC cord-340375-lhv83zac 17 19 C c NN cord-340375-lhv83zac 17 20 0 0 CD cord-340375-lhv83zac 17 21 is be VBZ cord-340375-lhv83zac 17 22 the the DT cord-340375-lhv83zac 17 23 initial initial JJ cord-340375-lhv83zac 17 24 number number NN cord-340375-lhv83zac 17 25 of of IN cord-340375-lhv83zac 17 26 infectees infectee NNS cord-340375-lhv83zac 17 27 . . . cord-340375-lhv83zac 18 1 The the DT cord-340375-lhv83zac 18 2 parameters parameter NNS cord-340375-lhv83zac 18 3 of of IN cord-340375-lhv83zac 18 4 Eq Eq NNP cord-340375-lhv83zac 18 5 . . . cord-340375-lhv83zac 19 1 2 2 LS cord-340375-lhv83zac 19 2 can can MD cord-340375-lhv83zac 19 3 easily easily RB cord-340375-lhv83zac 19 4 be be VB cord-340375-lhv83zac 19 5 estimated estimate VBN cord-340375-lhv83zac 19 6 via via IN cord-340375-lhv83zac 19 7 Least Least JJS cord-340375-lhv83zac 19 8 Squares Squares NNPS cord-340375-lhv83zac 19 9 ( ( -LRB- cord-340375-lhv83zac 19 10 LS ls NN cord-340375-lhv83zac 19 11 ) ) -RRB- cord-340375-lhv83zac 19 12 but but CC cord-340375-lhv83zac 19 13 in in IN cord-340375-lhv83zac 19 14 this this DT cord-340375-lhv83zac 19 15 note note NN cord-340375-lhv83zac 19 16 we -PRON- PRP cord-340375-lhv83zac 19 17 use use VBP cord-340375-lhv83zac 19 18 a a DT cord-340375-lhv83zac 19 19 Bayesian bayesian JJ cord-340375-lhv83zac 19 20 approach approach NN cord-340375-lhv83zac 19 21 which which WDT cord-340375-lhv83zac 19 22 allows allow VBZ cord-340375-lhv83zac 19 23 us -PRON- PRP cord-340375-lhv83zac 19 24 to to TO cord-340375-lhv83zac 19 25 make make VB cord-340375-lhv83zac 19 26 use use NN cord-340375-lhv83zac 19 27 of of IN cord-340375-lhv83zac 19 28 explicit explicit JJ cord-340375-lhv83zac 19 29 posterior posterior JJ cord-340375-lhv83zac 19 30 distributions distribution NNS cord-340375-lhv83zac 19 31 in in IN cord-340375-lhv83zac 19 32 order order NN cord-340375-lhv83zac 19 33 to to TO cord-340375-lhv83zac 19 34 make make VB cord-340375-lhv83zac 19 35 probabilistic probabilistic JJ cord-340375-lhv83zac 19 36 predictions prediction NNS cord-340375-lhv83zac 19 37 . . . cord-340375-lhv83zac 20 1 We -PRON- PRP cord-340375-lhv83zac 20 2 apply apply VBP cord-340375-lhv83zac 20 3 the the DT cord-340375-lhv83zac 20 4 above above JJ cord-340375-lhv83zac 20 5 model model NN cord-340375-lhv83zac 20 6 to to IN cord-340375-lhv83zac 20 7 the the DT cord-340375-lhv83zac 20 8 state state NN cord-340375-lhv83zac 20 9 of of IN cord-340375-lhv83zac 20 10 New New NNP cord-340375-lhv83zac 20 11 York York NNP cord-340375-lhv83zac 20 12 which which WDT cord-340375-lhv83zac 20 13 represents represent VBZ cord-340375-lhv83zac 20 14 a a DT cord-340375-lhv83zac 20 15 relatively relatively RB cord-340375-lhv83zac 20 16 geographically geographically RB cord-340375-lhv83zac 20 17 homogenous homogenous JJ cord-340375-lhv83zac 20 18 population population NN cord-340375-lhv83zac 20 19 with with IN cord-340375-lhv83zac 20 20 sufficient sufficient JJ cord-340375-lhv83zac 20 21 data data NN cord-340375-lhv83zac 20 22 points point NNS cord-340375-lhv83zac 20 23 in in IN cord-340375-lhv83zac 20 24 order order NN cord-340375-lhv83zac 20 25 build build VBP cord-340375-lhv83zac 20 26 a a DT cord-340375-lhv83zac 20 27 reliable reliable JJ cord-340375-lhv83zac 20 28 model model NN cord-340375-lhv83zac 20 29 which which WDT cord-340375-lhv83zac 20 30 is be VBZ cord-340375-lhv83zac 20 31 not not RB cord-340375-lhv83zac 20 32 affected affect VBN cord-340375-lhv83zac 20 33 by by IN cord-340375-lhv83zac 20 34 different different JJ cord-340375-lhv83zac 20 35 trends trend NNS cord-340375-lhv83zac 20 36 present present JJ cord-340375-lhv83zac 20 37 in in IN cord-340375-lhv83zac 20 38 different different JJ cord-340375-lhv83zac 20 39 regions region NNS cord-340375-lhv83zac 20 40 . . . cord-340375-lhv83zac 21 1 2 2 LS cord-340375-lhv83zac 21 2 . . . cord-340375-lhv83zac 22 1 Simulation simulation NN cord-340375-lhv83zac 22 2 1 1 CD cord-340375-lhv83zac 22 3 . . . cord-340375-lhv83zac 23 1 We -PRON- PRP cord-340375-lhv83zac 23 2 begin begin VBP cord-340375-lhv83zac 23 3 with with IN cord-340375-lhv83zac 23 4 a a DT cord-340375-lhv83zac 23 5 simple simple JJ cord-340375-lhv83zac 23 6 model model NN cord-340375-lhv83zac 23 7 which which WDT cord-340375-lhv83zac 23 8 estimates estimate VBZ cord-340375-lhv83zac 23 9 the the DT cord-340375-lhv83zac 23 10 parameters parameter NNS cord-340375-lhv83zac 23 11 of of IN cord-340375-lhv83zac 23 12 Eq Eq NNP cord-340375-lhv83zac 23 13 . . NNP cord-340375-lhv83zac 23 14 2 2 CD cord-340375-lhv83zac 23 15 based base VBN cord-340375-lhv83zac 23 16 on on IN cord-340375-lhv83zac 23 17 the the DT cord-340375-lhv83zac 23 18 assumption assumption NN cord-340375-lhv83zac 23 19 of of IN cord-340375-lhv83zac 23 20 normally normally RB cord-340375-lhv83zac 23 21 distributed distribute VBN cord-340375-lhv83zac 23 22 homoscedastic homoscedastic JJ cord-340375-lhv83zac 23 23 errors error NNS cord-340375-lhv83zac 23 24 . . . cord-340375-lhv83zac 24 1 We -PRON- PRP cord-340375-lhv83zac 24 2 use use VBP cord-340375-lhv83zac 24 3 the the DT cord-340375-lhv83zac 24 4 data datum NNS cord-340375-lhv83zac 24 5 for for IN cord-340375-lhv83zac 24 6 28 28 CD cord-340375-lhv83zac 24 7 consecutive consecutive JJ cord-340375-lhv83zac 24 8 days day NNS cord-340375-lhv83zac 24 9 of of IN cord-340375-lhv83zac 24 10 the the DT cord-340375-lhv83zac 24 11 epidemic epidemic NN cord-340375-lhv83zac 24 12 beginning beginning NN cord-340375-lhv83zac 24 13 with with IN cord-340375-lhv83zac 24 14 the the DT cord-340375-lhv83zac 24 15 4 4 CD cord-340375-lhv83zac 24 16 th th CD cord-340375-lhv83zac 24 17 of of IN cord-340375-lhv83zac 24 18 March March NNP cord-340375-lhv83zac 24 19 ( ( -LRB- cord-340375-lhv83zac 24 20 11 11 CD cord-340375-lhv83zac 24 21 infectees infectee NNS cord-340375-lhv83zac 24 22 ) ) -RRB- cord-340375-lhv83zac 24 23 and and CC cord-340375-lhv83zac 24 24 ending end VBG cord-340375-lhv83zac 24 25 with with IN cord-340375-lhv83zac 24 26 the the DT cord-340375-lhv83zac 24 27 31 31 CD cord-340375-lhv83zac 24 28 st st NNP cord-340375-lhv83zac 24 29 of of IN cord-340375-lhv83zac 24 30 March March NNP cord-340375-lhv83zac 24 31 ( ( -LRB- cord-340375-lhv83zac 24 32 75832 75832 CD cord-340375-lhv83zac 24 33 infectees infectees NNPS cord-340375-lhv83zac 24 34 ) ) -RRB- cord-340375-lhv83zac 24 35 1 1 CD cord-340375-lhv83zac 24 36 . . . cord-340375-lhv83zac 25 1 Prior prior RB cord-340375-lhv83zac 25 2 to to IN cord-340375-lhv83zac 25 3 estimation estimation NN cord-340375-lhv83zac 25 4 we -PRON- PRP cord-340375-lhv83zac 25 5 standardized standardize VBD cord-340375-lhv83zac 25 6 our -PRON- PRP$ cord-340375-lhv83zac 25 7 data datum NNS cord-340375-lhv83zac 25 8 by by IN cord-340375-lhv83zac 25 9 dividing divide VBG cord-340375-lhv83zac 25 10 all all DT cord-340375-lhv83zac 25 11 data datum NNS cord-340375-lhv83zac 25 12 points point NNS cord-340375-lhv83zac 25 13 by by IN cord-340375-lhv83zac 25 14 70000 70000 CD cord-340375-lhv83zac 25 15 in in IN cord-340375-lhv83zac 25 16 order order NN cord-340375-lhv83zac 25 17 to to TO cord-340375-lhv83zac 25 18 avoid avoid VB cord-340375-lhv83zac 25 19 numerical numerical JJ cord-340375-lhv83zac 25 20 problems problem NNS cord-340375-lhv83zac 25 21 ; ; : cord-340375-lhv83zac 25 22 after after IN cord-340375-lhv83zac 25 23 the the DT cord-340375-lhv83zac 25 24 posteriors posterior NNS cord-340375-lhv83zac 25 25 were be VBD cord-340375-lhv83zac 25 26 obtained obtain VBN cord-340375-lhv83zac 25 27 we -PRON- PRP cord-340375-lhv83zac 25 28 back back RB cord-340375-lhv83zac 25 29 - - HYPH cord-340375-lhv83zac 25 30 transformed transform VBD cord-340375-lhv83zac 25 31 the the DT cord-340375-lhv83zac 25 32 results result NNS cord-340375-lhv83zac 25 33 in in IN cord-340375-lhv83zac 25 34 their -PRON- PRP$ cord-340375-lhv83zac 25 35 original original JJ cord-340375-lhv83zac 25 36 scale scale NN cord-340375-lhv83zac 25 37 . . . cord-340375-lhv83zac 26 1 We -PRON- PRP cord-340375-lhv83zac 26 2 assumed assume VBD cord-340375-lhv83zac 26 3 that that IN cord-340375-lhv83zac 26 4 the the DT cord-340375-lhv83zac 26 5 errors error NNS cord-340375-lhv83zac 26 6 are be VBP cord-340375-lhv83zac 26 7 normally normally RB cord-340375-lhv83zac 26 8 distributed distribute VBN cord-340375-lhv83zac 26 9 with with IN cord-340375-lhv83zac 26 10 mean mean NN cord-340375-lhv83zac 26 11 equal equal JJ cord-340375-lhv83zac 26 12 to to IN cord-340375-lhv83zac 26 13 0 0 CD cord-340375-lhv83zac 26 14 and and CC cord-340375-lhv83zac 26 15 standard standard JJ cord-340375-lhv83zac 26 16 deviation deviation NN cord-340375-lhv83zac 26 17 ( ( -LRB- cord-340375-lhv83zac 26 18 σ σ NNP cord-340375-lhv83zac 26 19 ) ) -RRB- cord-340375-lhv83zac 26 20 estimated estimate VBN cord-340375-lhv83zac 26 21 by by IN cord-340375-lhv83zac 26 22 the the DT cord-340375-lhv83zac 26 23 model model NN cord-340375-lhv83zac 26 24 . . . cord-340375-lhv83zac 27 1 We -PRON- PRP cord-340375-lhv83zac 27 2 used use VBD cord-340375-lhv83zac 27 3 the the DT cord-340375-lhv83zac 27 4 blockwise blockwise NNP cord-340375-lhv83zac 27 5 Random Random NNP cord-340375-lhv83zac 27 6 Walk Walk NNP cord-340375-lhv83zac 27 7 Metropolis Metropolis NNP cord-340375-lhv83zac 27 8 algorithm algorithm NN cord-340375-lhv83zac 27 9 2 2 CD cord-340375-lhv83zac 27 10 in in IN cord-340375-lhv83zac 27 11 order order NN cord-340375-lhv83zac 27 12 to to TO cord-340375-lhv83zac 27 13 sample sample VB cord-340375-lhv83zac 27 14 from from IN cord-340375-lhv83zac 27 15 the the DT cord-340375-lhv83zac 27 16 joint joint JJ cord-340375-lhv83zac 27 17 posterior posterior JJ cord-340375-lhv83zac 27 18 distribution distribution NN cord-340375-lhv83zac 27 19 of of IN cord-340375-lhv83zac 27 20 the the DT cord-340375-lhv83zac 27 21 four four CD cord-340375-lhv83zac 27 22 parameters parameter NNS cord-340375-lhv83zac 27 23 of of IN cord-340375-lhv83zac 27 24 the the DT cord-340375-lhv83zac 27 25 model model NN cord-340375-lhv83zac 27 26 ( ( -LRB- cord-340375-lhv83zac 27 27 K K NNP cord-340375-lhv83zac 27 28 , , , cord-340375-lhv83zac 27 29 A A NNP cord-340375-lhv83zac 27 30 , , , cord-340375-lhv83zac 27 31 r r NN cord-340375-lhv83zac 27 32 , , , cord-340375-lhv83zac 27 33 and and CC cord-340375-lhv83zac 27 34 σ σ NNP cord-340375-lhv83zac 27 35 ) ) -RRB- cord-340375-lhv83zac 27 36 . . . cord-340375-lhv83zac 28 1 The the DT cord-340375-lhv83zac 28 2 proposal proposal NN cord-340375-lhv83zac 28 3 distribution distribution NN cord-340375-lhv83zac 28 4 was be VBD cord-340375-lhv83zac 28 5 multivariate multivariate JJ cord-340375-lhv83zac 28 6 normal normal JJ cord-340375-lhv83zac 28 7 with with IN cord-340375-lhv83zac 28 8 scaled scale VBN cord-340375-lhv83zac 28 9 variance variance NN cord-340375-lhv83zac 28 10 - - HYPH cord-340375-lhv83zac 28 11 covariance covariance NN cord-340375-lhv83zac 28 12 matrix matrix NN cord-340375-lhv83zac 28 13 estimated estimate VBN cord-340375-lhv83zac 28 14 on on IN cord-340375-lhv83zac 28 15 the the DT cord-340375-lhv83zac 28 16 basis basis NN cord-340375-lhv83zac 28 17 of of IN cord-340375-lhv83zac 28 18 pilot pilot NN cord-340375-lhv83zac 28 19 runs run NNS cord-340375-lhv83zac 28 20 . . . cord-340375-lhv83zac 29 1 Uninformative uninformative JJ cord-340375-lhv83zac 29 2 improper improper JJ cord-340375-lhv83zac 29 3 uniform uniform JJ cord-340375-lhv83zac 29 4 priors prior NNS cord-340375-lhv83zac 29 5 ranging range VBG cord-340375-lhv83zac 29 6 from from IN cord-340375-lhv83zac 29 7 0 0 CD cord-340375-lhv83zac 29 8 to to IN cord-340375-lhv83zac 30 1 + + CC cord-340375-lhv83zac 31 1 ∞ ∞ NNP cord-340375-lhv83zac 31 2 were be VBD cord-340375-lhv83zac 31 3 employed employ VBN cord-340375-lhv83zac 31 4 for for IN cord-340375-lhv83zac 31 5 all all DT cord-340375-lhv83zac 31 6 parameters parameter NNS cord-340375-lhv83zac 31 7 in in IN cord-340375-lhv83zac 31 8 the the DT cord-340375-lhv83zac 31 9 model model NN cord-340375-lhv83zac 31 10 . . . cord-340375-lhv83zac 32 1 A a DT cord-340375-lhv83zac 32 2 pilot pilot NN cord-340375-lhv83zac 32 3 chain chain NN cord-340375-lhv83zac 32 4 showed show VBD cord-340375-lhv83zac 32 5 an an DT cord-340375-lhv83zac 32 6 acceptance acceptance NN cord-340375-lhv83zac 32 7 rate rate NN cord-340375-lhv83zac 32 8 within within IN cord-340375-lhv83zac 32 9 the the DT cord-340375-lhv83zac 32 10 optimal optimal JJ cord-340375-lhv83zac 32 11 range range NN cord-340375-lhv83zac 32 12 of of IN cord-340375-lhv83zac 32 13 23 23 CD cord-340375-lhv83zac 32 14 % % NN cord-340375-lhv83zac 32 15 ( ( -LRB- cord-340375-lhv83zac 32 16 e.g. e.g. RB cord-340375-lhv83zac 32 17 Chib Chib NNP cord-340375-lhv83zac 32 18 & & CC cord-340375-lhv83zac 32 19 Greenberg Greenberg NNP cord-340375-lhv83zac 32 20 , , , cord-340375-lhv83zac 32 21 1995 1995 CD cord-340375-lhv83zac 32 22 . . . cord-340375-lhv83zac 33 1 CC CC NNP cord-340375-lhv83zac 33 2 - - HYPH cord-340375-lhv83zac 33 3 BY BY NNP cord-340375-lhv83zac 33 4 - - HYPH cord-340375-lhv83zac 33 5 NC NC NNP cord-340375-lhv83zac 33 6 - - HYPH cord-340375-lhv83zac 33 7 ND ND NNP cord-340375-lhv83zac 33 8 4.0 4.0 CD cord-340375-lhv83zac 33 9 International international JJ cord-340375-lhv83zac 33 10 license license NN cord-340375-lhv83zac 33 11 It -PRON- PRP cord-340375-lhv83zac 33 12 is be VBZ cord-340375-lhv83zac 33 13 made make VBN cord-340375-lhv83zac 33 14 available available JJ cord-340375-lhv83zac 33 15 under under IN cord-340375-lhv83zac 33 16 a a DT cord-340375-lhv83zac 34 1 is be VBZ cord-340375-lhv83zac 34 2 the the DT cord-340375-lhv83zac 34 3 author author NN cord-340375-lhv83zac 34 4 / / SYM cord-340375-lhv83zac 34 5 funder funder NN cord-340375-lhv83zac 34 6 , , , cord-340375-lhv83zac 34 7 who who WP cord-340375-lhv83zac 34 8 has have VBZ cord-340375-lhv83zac 34 9 granted grant VBN cord-340375-lhv83zac 34 10 medRxiv medRxiv NNS cord-340375-lhv83zac 34 11 a a DT cord-340375-lhv83zac 34 12 license license NN cord-340375-lhv83zac 34 13 to to TO cord-340375-lhv83zac 34 14 display display VB cord-340375-lhv83zac 34 15 the the DT cord-340375-lhv83zac 34 16 preprint preprint NN cord-340375-lhv83zac 34 17 in in IN cord-340375-lhv83zac 34 18 perpetuity perpetuity NN cord-340375-lhv83zac 34 19 . . . cord-340375-lhv83zac 35 1 ( ( -LRB- cord-340375-lhv83zac 35 2 which which WDT cord-340375-lhv83zac 35 3 was be VBD cord-340375-lhv83zac 35 4 not not RB cord-340375-lhv83zac 35 5 peer peer NN cord-340375-lhv83zac 35 6 - - HYPH cord-340375-lhv83zac 35 7 reviewed review VBN cord-340375-lhv83zac 35 8 ) ) -RRB- cord-340375-lhv83zac 36 1 The the DT cord-340375-lhv83zac 36 2 copyright copyright NN cord-340375-lhv83zac 36 3 holder holder NN cord-340375-lhv83zac 36 4 for for IN cord-340375-lhv83zac 36 5 this this DT cord-340375-lhv83zac 36 6 preprint preprint NN cord-340375-lhv83zac 36 7 . . . cord-340375-lhv83zac 37 1 https://doi.org/10 https://doi.org/10 NNP cord-340375-lhv83zac 37 2 . . . cord-340375-lhv83zac 38 1 1101 1101 CD cord-340375-lhv83zac 38 2 /2020 /2020 . cord-340375-lhv83zac 38 3 r=0.34 r=0.34 NNP cord-340375-lhv83zac 38 4 ( ( -LRB- cord-340375-lhv83zac 38 5 95 95 CD cord-340375-lhv83zac 38 6 % % NN cord-340375-lhv83zac 38 7 CI=[0.31 CI=[0.31 NNP cord-340375-lhv83zac 38 8 ; ; : cord-340375-lhv83zac 38 9 0.37 0.37 CD cord-340375-lhv83zac 38 10 ] ] -RRB- cord-340375-lhv83zac 38 11 ) ) -RRB- cord-340375-lhv83zac 38 12 . . . cord-340375-lhv83zac 39 1 We -PRON- PRP cord-340375-lhv83zac 39 2 see see VBP cord-340375-lhv83zac 39 3 that that IN cord-340375-lhv83zac 39 4 the the DT cord-340375-lhv83zac 39 5 estimates estimate NNS cord-340375-lhv83zac 39 6 are be VBP cord-340375-lhv83zac 39 7 very very RB cord-340375-lhv83zac 39 8 similar similar JJ cord-340375-lhv83zac 39 9 to to IN cord-340375-lhv83zac 39 10 the the DT cord-340375-lhv83zac 39 11 posterior posterior JJ cord-340375-lhv83zac 39 12 EAPs eap NNS cord-340375-lhv83zac 39 13 reported report VBN cord-340375-lhv83zac 39 14 above above IN cord-340375-lhv83zac 39 15 which which WDT cord-340375-lhv83zac 39 16 is be VBZ cord-340375-lhv83zac 39 17 to to TO cord-340375-lhv83zac 39 18 be be VB cord-340375-lhv83zac 39 19 expected expect VBN cord-340375-lhv83zac 39 20 given give VBN cord-340375-lhv83zac 39 21 the the DT cord-340375-lhv83zac 39 22 uninformative uninformative JJ cord-340375-lhv83zac 39 23 nature nature NN cord-340375-lhv83zac 39 24 of of IN cord-340375-lhv83zac 39 25 our -PRON- PRP$ cord-340375-lhv83zac 39 26 priors prior NNS cord-340375-lhv83zac 39 27 . . . cord-340375-lhv83zac 40 1 Still still RB cord-340375-lhv83zac 40 2 , , , cord-340375-lhv83zac 40 3 the the DT cord-340375-lhv83zac 40 4 Bayesian bayesian JJ cord-340375-lhv83zac 40 5 analysis analysis NN cord-340375-lhv83zac 40 6 gives give VBZ cord-340375-lhv83zac 40 7 slightly slightly RB cord-340375-lhv83zac 40 8 wider wide JJR cord-340375-lhv83zac 40 9 intervals interval NNS cord-340375-lhv83zac 40 10 for for IN cord-340375-lhv83zac 40 11 the the DT cord-340375-lhv83zac 40 12 estimates estimate NNS cord-340375-lhv83zac 40 13 which which WDT cord-340375-lhv83zac 40 14 as as IN cord-340375-lhv83zac 40 15 we -PRON- PRP cord-340375-lhv83zac 40 16 'll will MD cord-340375-lhv83zac 40 17 see see VB cord-340375-lhv83zac 40 18 below below RB cord-340375-lhv83zac 40 19 is be VBZ cord-340375-lhv83zac 40 20 a a DT cord-340375-lhv83zac 40 21 positive positive JJ cord-340375-lhv83zac 40 22 . . . cord-340375-lhv83zac 41 1 conservative conservative JJ cord-340375-lhv83zac 41 2 . . . cord-340375-lhv83zac 42 1 This this DT cord-340375-lhv83zac 42 2 is be VBZ cord-340375-lhv83zac 42 3 a a DT cord-340375-lhv83zac 42 4 commonly commonly RB cord-340375-lhv83zac 42 5 observed observe VBN cord-340375-lhv83zac 42 6 situation situation NN cord-340375-lhv83zac 42 7 for for IN cord-340375-lhv83zac 42 8 phenomenological phenomenological JJ cord-340375-lhv83zac 42 9 ( ( -LRB- cord-340375-lhv83zac 42 10 i.e. i.e. FW cord-340375-lhv83zac 42 11 purely purely RB cord-340375-lhv83zac 42 12 datadriven datadriven JJ cord-340375-lhv83zac 42 13 ) ) -RRB- cord-340375-lhv83zac 42 14 models model NNS cord-340375-lhv83zac 42 15 of of IN cord-340375-lhv83zac 42 16 this this DT cord-340375-lhv83zac 42 17 type type NN cord-340375-lhv83zac 42 18 . . . cord-340375-lhv83zac 43 1 At at IN cord-340375-lhv83zac 43 2 the the DT cord-340375-lhv83zac 43 3 time time NN cord-340375-lhv83zac 43 4 of of IN cord-340375-lhv83zac 43 5 writing write VBG cord-340375-lhv83zac 43 6 this this DT cord-340375-lhv83zac 43 7 note note NN cord-340375-lhv83zac 43 8 , , , cord-340375-lhv83zac 43 9 there there EX cord-340375-lhv83zac 43 10 is be VBZ cord-340375-lhv83zac 43 11 information information NN cord-340375-lhv83zac 43 12 for for IN cord-340375-lhv83zac 43 13 the the DT cord-340375-lhv83zac 43 14 number number NN cord-340375-lhv83zac 43 15 of of IN cord-340375-lhv83zac 43 16 infectees infectee NNS cord-340375-lhv83zac 43 17 three three CD cord-340375-lhv83zac 43 18 days day NNS cord-340375-lhv83zac 43 19 after after IN cord-340375-lhv83zac 43 20 the the DT cord-340375-lhv83zac 43 21 28 28 CD cord-340375-lhv83zac 43 22 days day NNS cord-340375-lhv83zac 43 23 used use VBN cord-340375-lhv83zac 43 24 in in IN cord-340375-lhv83zac 43 25 order order NN cord-340375-lhv83zac 43 26 to to TO cord-340375-lhv83zac 43 27 fit fit VB cord-340375-lhv83zac 43 28 the the DT cord-340375-lhv83zac 43 29 model model NN cord-340375-lhv83zac 43 30 . . . cord-340375-lhv83zac 44 1 We -PRON- PRP cord-340375-lhv83zac 44 2 used use VBD cord-340375-lhv83zac 44 3 the the DT cord-340375-lhv83zac 44 4 posterior posterior JJ cord-340375-lhv83zac 44 5 estimates estimate NNS cord-340375-lhv83zac 44 6 in in IN cord-340375-lhv83zac 44 7 order order NN cord-340375-lhv83zac 44 8 to to TO cord-340375-lhv83zac 44 9 predict predict VB cord-340375-lhv83zac 44 10 the the DT cord-340375-lhv83zac 44 11 number number NN cord-340375-lhv83zac 44 12 of of IN cord-340375-lhv83zac 44 13 future future JJ cord-340375-lhv83zac 44 14 infectees infectee NNS cord-340375-lhv83zac 44 15 . . . cord-340375-lhv83zac 45 1 More more RBR cord-340375-lhv83zac 45 2 precisely precisely RB cord-340375-lhv83zac 45 3 , , , cord-340375-lhv83zac 45 4 we -PRON- PRP cord-340375-lhv83zac 45 5 used use VBD cord-340375-lhv83zac 45 6 the the DT cord-340375-lhv83zac 45 7 posterior posterior JJ cord-340375-lhv83zac 45 8 estimates estimate NNS cord-340375-lhv83zac 45 9 ( ( -LRB- cord-340375-lhv83zac 45 10 including include VBG cord-340375-lhv83zac 45 11 σ σ NNP cord-340375-lhv83zac 45 12 ) ) -RRB- cord-340375-lhv83zac 45 13 in in IN cord-340375-lhv83zac 45 14 order order NN cord-340375-lhv83zac 45 15 to to TO cord-340375-lhv83zac 45 16 simulate simulate VB cord-340375-lhv83zac 45 17 data datum NNS cord-340375-lhv83zac 45 18 for for IN cord-340375-lhv83zac 45 19 future future JJ cord-340375-lhv83zac 45 20 values value NNS cord-340375-lhv83zac 45 21 of of IN cord-340375-lhv83zac 45 22 t t NN cord-340375-lhv83zac 45 23 thereby thereby RB cord-340375-lhv83zac 45 24 constructing construct VBG cord-340375-lhv83zac 45 25 what what WP cord-340375-lhv83zac 45 26 is be VBZ cord-340375-lhv83zac 45 27 known know VBN cord-340375-lhv83zac 45 28 as as IN cord-340375-lhv83zac 45 29 posterior posterior JJ cord-340375-lhv83zac 45 30 predictive predictive JJ cord-340375-lhv83zac 45 31 distributions distribution NNS cord-340375-lhv83zac 45 32 . . . cord-340375-lhv83zac 46 1 For for IN cord-340375-lhv83zac 46 2 example example NN cord-340375-lhv83zac 46 3 , , , cord-340375-lhv83zac 46 4 for for IN cord-340375-lhv83zac 46 5 a a DT cord-340375-lhv83zac 46 6 given give VBN cord-340375-lhv83zac 46 7 future future JJ cord-340375-lhv83zac 46 8 day day NN cord-340375-lhv83zac 46 9 ( ( -LRB- cord-340375-lhv83zac 46 10 e.g. e.g. RB cord-340375-lhv83zac 46 11 for for IN cord-340375-lhv83zac 46 12 the the DT cord-340375-lhv83zac 46 13 28 28 CD cord-340375-lhv83zac 46 14 th th CD cord-340375-lhv83zac 46 15 day day NN cord-340375-lhv83zac 46 16 ) ) -RRB- cord-340375-lhv83zac 46 17 we -PRON- PRP cord-340375-lhv83zac 46 18 sampled sample VBD cord-340375-lhv83zac 46 19 all all DT cord-340375-lhv83zac 46 20 posterior posterior JJ cord-340375-lhv83zac 46 21 values value NNS cord-340375-lhv83zac 46 22 for for IN cord-340375-lhv83zac 46 23 Eq Eq NNP cord-340375-lhv83zac 46 24 . . . cord-340375-lhv83zac 47 1 2 2 CD cord-340375-lhv83zac 47 2 parameters parameter NNS cord-340375-lhv83zac 47 3 and and CC cord-340375-lhv83zac 47 4 for for IN cord-340375-lhv83zac 47 5 each each DT cord-340375-lhv83zac 47 6 sample sample NN cord-340375-lhv83zac 47 7 we -PRON- PRP cord-340375-lhv83zac 47 8 plugged plug VBD cord-340375-lhv83zac 47 9 in in IN cord-340375-lhv83zac 47 10 the the DT cord-340375-lhv83zac 47 11 t=28 t=28 NN cord-340375-lhv83zac 47 12 value value NN cord-340375-lhv83zac 47 13 in in IN cord-340375-lhv83zac 47 14 order order NN cord-340375-lhv83zac 47 15 to to TO cord-340375-lhv83zac 47 16 obtain obtain VB cord-340375-lhv83zac 47 17 a a DT cord-340375-lhv83zac 47 18 mean mean JJ cord-340375-lhv83zac 47 19 prediction prediction NN cord-340375-lhv83zac 47 20 value value NN cord-340375-lhv83zac 47 21 ; ; : cord-340375-lhv83zac 47 22 then then RB cord-340375-lhv83zac 47 23 we -PRON- PRP cord-340375-lhv83zac 47 24 added add VBD cord-340375-lhv83zac 47 25 a a DT cord-340375-lhv83zac 47 26 random random JJ cord-340375-lhv83zac 47 27 number number NN cord-340375-lhv83zac 47 28 generated generate VBN cord-340375-lhv83zac 47 29 from from IN cord-340375-lhv83zac 47 30 N(0 N(0 NNP cord-340375-lhv83zac 47 31 , , , cord-340375-lhv83zac 47 32 σ σ NNP cord-340375-lhv83zac 47 33 ) ) -RRB- cord-340375-lhv83zac 47 34 where where WRB cord-340375-lhv83zac 47 35 the the DT cord-340375-lhv83zac 47 36 value value NN cord-340375-lhv83zac 47 37 for for IN cord-340375-lhv83zac 47 38 σ σ NNP cord-340375-lhv83zac 47 39 is be VBZ cord-340375-lhv83zac 47 40 sampled sample VBN cord-340375-lhv83zac 47 41 from from IN cord-340375-lhv83zac 47 42 the the DT cord-340375-lhv83zac 47 43 posterior posterior NN cord-340375-lhv83zac 47 44 alongside alongside IN cord-340375-lhv83zac 47 45 actual actual JJ cord-340375-lhv83zac 47 46 predicted predict VBD cord-340375-lhv83zac 47 47 the the DT cord-340375-lhv83zac 47 48 other other JJ cord-340375-lhv83zac 47 49 parameters parameter NNS cord-340375-lhv83zac 47 50 available available JJ cord-340375-lhv83zac 47 51 for for IN cord-340375-lhv83zac 47 52 the the DT cord-340375-lhv83zac 47 53 given give VBN cord-340375-lhv83zac 47 54 step step NN cord-340375-lhv83zac 47 55 . . . cord-340375-lhv83zac 48 1 The the DT cord-340375-lhv83zac 48 2 resulting result VBG cord-340375-lhv83zac 48 3 predictive predictive JJ cord-340375-lhv83zac 48 4 distribution distribution NN cord-340375-lhv83zac 48 5 has have VBZ cord-340375-lhv83zac 48 6 an an DT cord-340375-lhv83zac 48 7 observed observed JJ cord-340375-lhv83zac 48 8 mean mean NN cord-340375-lhv83zac 48 9 , , , cord-340375-lhv83zac 48 10 variance variance NN cord-340375-lhv83zac 48 11 , , , cord-340375-lhv83zac 48 12 etc etc FW cord-340375-lhv83zac 48 13 . . . cord-340375-lhv83zac 49 1 and and CC cord-340375-lhv83zac 49 2 can can MD cord-340375-lhv83zac 49 3 be be VB cord-340375-lhv83zac 49 4 used use VBN cord-340375-lhv83zac 49 5 in in IN cord-340375-lhv83zac 49 6 order order NN cord-340375-lhv83zac 49 7 to to TO cord-340375-lhv83zac 49 8 make make VB cord-340375-lhv83zac 49 9 point point NN cord-340375-lhv83zac 49 10 and/or and/or CC cord-340375-lhv83zac 49 11 interval interval NN cord-340375-lhv83zac 49 12 predictions prediction NNS cord-340375-lhv83zac 49 13 ( ( -LRB- cord-340375-lhv83zac 49 14 HDIs HDIs NNP cord-340375-lhv83zac 49 15 ) ) -RRB- cord-340375-lhv83zac 49 16 as as IN cord-340375-lhv83zac 49 17 usual usual JJ cord-340375-lhv83zac 49 18 . . . cord-340375-lhv83zac 50 1 Some some DT cord-340375-lhv83zac 50 2 results result NNS cord-340375-lhv83zac 50 3 are be VBP cord-340375-lhv83zac 50 4 shown show VBN cord-340375-lhv83zac 50 5 in in IN cord-340375-lhv83zac 50 6 Table Table NNP cord-340375-lhv83zac 50 7 2 2 CD cord-340375-lhv83zac 51 1 We -PRON- PRP cord-340375-lhv83zac 51 2 see see VBP cord-340375-lhv83zac 51 3 that that IN cord-340375-lhv83zac 51 4 the the DT cord-340375-lhv83zac 51 5 predictive predictive JJ cord-340375-lhv83zac 51 6 distributions distribution NNS cord-340375-lhv83zac 51 7 fail fail VBP cord-340375-lhv83zac 51 8 to to TO cord-340375-lhv83zac 51 9 capture capture VB cord-340375-lhv83zac 51 10 even even RB cord-340375-lhv83zac 51 11 the the DT cord-340375-lhv83zac 51 12 immediate immediate JJ cord-340375-lhv83zac 51 13 true true JJ cord-340375-lhv83zac 51 14 value value NN cord-340375-lhv83zac 51 15 which which WDT cord-340375-lhv83zac 51 16 once once RB cord-340375-lhv83zac 51 17 again again RB cord-340375-lhv83zac 51 18 suggests suggest VBZ cord-340375-lhv83zac 51 19 that that IN cord-340375-lhv83zac 51 20 indeed indeed RB cord-340375-lhv83zac 51 21 the the DT cord-340375-lhv83zac 51 22 model model NN cord-340375-lhv83zac 51 23 is be VBZ cord-340375-lhv83zac 51 24 inadequate inadequate JJ cord-340375-lhv83zac 51 25 and and CC cord-340375-lhv83zac 51 26 fails fail VBZ cord-340375-lhv83zac 51 27 to to TO cord-340375-lhv83zac 51 28 capture capture VB cord-340375-lhv83zac 51 29 the the DT cord-340375-lhv83zac 51 30 true true JJ cord-340375-lhv83zac 51 31 trends trend NNS cord-340375-lhv83zac 51 32 in in IN cord-340375-lhv83zac 51 33 the the DT cord-340375-lhv83zac 51 34 data datum NNS cord-340375-lhv83zac 51 35 . . . cord-340375-lhv83zac 52 1 Note note VB cord-340375-lhv83zac 52 2 , , , cord-340375-lhv83zac 52 3 however however RB cord-340375-lhv83zac 52 4 , , , cord-340375-lhv83zac 52 5 that that IN cord-340375-lhv83zac 52 6 the the DT cord-340375-lhv83zac 52 7 ranges range NNS cord-340375-lhv83zac 52 8 of of IN cord-340375-lhv83zac 52 9 the the DT cord-340375-lhv83zac 52 10 prediction prediction NN cord-340375-lhv83zac 52 11 intervals interval NNS cord-340375-lhv83zac 52 12 increase increase VBP cord-340375-lhv83zac 52 13 for for IN cord-340375-lhv83zac 52 14 later later JJ cord-340375-lhv83zac 52 15 data data NN cord-340375-lhv83zac 52 16 points point NNS cord-340375-lhv83zac 52 17 which which WDT cord-340375-lhv83zac 52 18 is be VBZ cord-340375-lhv83zac 52 19 a a DT cord-340375-lhv83zac 52 20 desirable desirable JJ cord-340375-lhv83zac 52 21 quality quality NN cord-340375-lhv83zac 52 22 of of IN cord-340375-lhv83zac 52 23 a a DT cord-340375-lhv83zac 52 24 model model NN cord-340375-lhv83zac 52 25 and and CC cord-340375-lhv83zac 52 26 is be VBZ cord-340375-lhv83zac 52 27 intrinsic intrinsic JJ cord-340375-lhv83zac 52 28 to to IN cord-340375-lhv83zac 52 29 the the DT cord-340375-lhv83zac 52 30 Bayesian bayesian JJ cord-340375-lhv83zac 52 31 approach approach NN cord-340375-lhv83zac 52 32 employed employ VBN cord-340375-lhv83zac 52 33 here here RB cord-340375-lhv83zac 52 34 . . . cord-340375-lhv83zac 53 1 As as IN cord-340375-lhv83zac 53 2 Fig Fig NNP cord-340375-lhv83zac 53 3 . . NNP cord-340375-lhv83zac 53 4 2 2 LS cord-340375-lhv83zac 53 5 ( ( -LRB- cord-340375-lhv83zac 53 6 upper upper JJ cord-340375-lhv83zac 53 7 right right JJ cord-340375-lhv83zac 53 8 portion portion NN cord-340375-lhv83zac 53 9 ) ) -RRB- cord-340375-lhv83zac 53 10 suggests suggest VBZ cord-340375-lhv83zac 53 11 , , , cord-340375-lhv83zac 53 12 the the DT cord-340375-lhv83zac 53 13 model model NN cord-340375-lhv83zac 53 14 converges converge VBZ cord-340375-lhv83zac 53 15 too too RB cord-340375-lhv83zac 53 16 quickly quickly RB cord-340375-lhv83zac 53 17 to to IN cord-340375-lhv83zac 53 18 its -PRON- PRP$ cord-340375-lhv83zac 53 19 upper upper JJ cord-340375-lhv83zac 53 20 asymptote asymptote NN cord-340375-lhv83zac 53 21 and and CC cord-340375-lhv83zac 53 22 hence hence RB cord-340375-lhv83zac 53 23 its -PRON- PRP$ cord-340375-lhv83zac 53 24 predictions prediction NNS cord-340375-lhv83zac 53 25 are be VBP cord-340375-lhv83zac 53 26 too too RB cord-340375-lhv83zac 53 27 low low JJ cord-340375-lhv83zac 53 28 and and CC cord-340375-lhv83zac 53 29 probably probably RB cord-340375-lhv83zac 53 30 too too RB cord-340375-lhv83zac 53 31 narrow narrow JJ cord-340375-lhv83zac 53 32 . . . cord-340375-lhv83zac 54 1 This this DT cord-340375-lhv83zac 54 2 observation observation NN cord-340375-lhv83zac 54 3 is be VBZ cord-340375-lhv83zac 54 4 not not RB cord-340375-lhv83zac 54 5 surprising surprising JJ cord-340375-lhv83zac 54 6 given give VBN cord-340375-lhv83zac 54 7 that that IN cord-340375-lhv83zac 54 8 it -PRON- PRP cord-340375-lhv83zac 54 9 is be VBZ cord-340375-lhv83zac 54 10 well well RB cord-340375-lhv83zac 54 11 - - HYPH cord-340375-lhv83zac 54 12 known know VBN cord-340375-lhv83zac 54 13 that that IN cord-340375-lhv83zac 54 14 the the DT cord-340375-lhv83zac 54 15 simple simple JJ cord-340375-lhv83zac 54 16 logistic logistic JJ cord-340375-lhv83zac 54 17 model model NN cord-340375-lhv83zac 54 18 is be VBZ cord-340375-lhv83zac 54 19 applicable applicable JJ cord-340375-lhv83zac 54 20 only only RB cord-340375-lhv83zac 54 21 during during IN cord-340375-lhv83zac 54 22 specific specific JJ cord-340375-lhv83zac 54 23 stages stage NNS cord-340375-lhv83zac 54 24 of of IN cord-340375-lhv83zac 54 25 an an DT cord-340375-lhv83zac 54 26 outbreak outbreak NN cord-340375-lhv83zac 54 27 and/or and/or CC cord-340375-lhv83zac 54 28 when when WRB cord-340375-lhv83zac 54 29 enough enough JJ cord-340375-lhv83zac 54 30 data data NN cord-340375-lhv83zac 54 31 is be VBZ cord-340375-lhv83zac 54 32 available available JJ cord-340375-lhv83zac 54 33 ( ( -LRB- cord-340375-lhv83zac 54 34 see see VB cord-340375-lhv83zac 54 35 Wu Wu NNP cord-340375-lhv83zac 54 36 et et NNP cord-340375-lhv83zac 54 37 al al NNP cord-340375-lhv83zac 54 38 , , , cord-340375-lhv83zac 54 39 2020 2020 CD cord-340375-lhv83zac 54 40 for for IN cord-340375-lhv83zac 54 41 a a DT cord-340375-lhv83zac 54 42 review review NN cord-340375-lhv83zac 54 43 ) ) -RRB- cord-340375-lhv83zac 54 44 . . . cord-340375-lhv83zac 55 1 Possible possible JJ cord-340375-lhv83zac 55 2 solutions solution NNS cord-340375-lhv83zac 55 3 include include VBP cord-340375-lhv83zac 55 4 : : : cord-340375-lhv83zac 55 5 improving improve VBG cord-340375-lhv83zac 55 6 the the DT cord-340375-lhv83zac 55 7 model model NN cord-340375-lhv83zac 55 8 ( ( -LRB- cord-340375-lhv83zac 55 9 e.g. e.g. IN cord-340375-lhv83zac 55 10 Richards Richards NNP cord-340375-lhv83zac 55 11 , , , cord-340375-lhv83zac 55 12 1959 1959 CD cord-340375-lhv83zac 55 13 ) ) -RRB- cord-340375-lhv83zac 55 14 by by IN cord-340375-lhv83zac 55 15 adding add VBG cord-340375-lhv83zac 55 16 more more JJR cord-340375-lhv83zac 55 17 parameters parameter NNS cord-340375-lhv83zac 55 18 which which WDT cord-340375-lhv83zac 55 19 can can MD cord-340375-lhv83zac 55 20 account account VB cord-340375-lhv83zac 55 21 better well RBR cord-340375-lhv83zac 55 22 for for IN cord-340375-lhv83zac 55 23 the the DT cord-340375-lhv83zac 55 24 deviation deviation NN cord-340375-lhv83zac 55 25 of of IN cord-340375-lhv83zac 55 26 the the DT cord-340375-lhv83zac 55 27 observed observed JJ cord-340375-lhv83zac 55 28 data data NN cord-340375-lhv83zac 55 29 points point NNS cord-340375-lhv83zac 55 30 from from IN cord-340375-lhv83zac 55 31 the the DT cord-340375-lhv83zac 55 32 symmetric symmetric JJ cord-340375-lhv83zac 55 33 S s NN cord-340375-lhv83zac 55 34 - - HYPH cord-340375-lhv83zac 55 35 shaped shape VBN cord-340375-lhv83zac 55 36 curve curve NN cord-340375-lhv83zac 55 37 suggested suggest VBN cord-340375-lhv83zac 55 38 by by IN cord-340375-lhv83zac 55 39 the the DT cord-340375-lhv83zac 55 40 logistic logistic JJ cord-340375-lhv83zac 55 41 growth growth NN cord-340375-lhv83zac 55 42 model model NN cord-340375-lhv83zac 55 43 ; ; : cord-340375-lhv83zac 55 44 adjusting adjust VBG cord-340375-lhv83zac 55 45 the the DT cord-340375-lhv83zac 55 46 prior prior JJ cord-340375-lhv83zac 55 47 distributions distribution NNS cord-340375-lhv83zac 55 48 so so IN cord-340375-lhv83zac 55 49 as as IN cord-340375-lhv83zac 55 50 to to TO cord-340375-lhv83zac 55 51 reflect reflect VB cord-340375-lhv83zac 55 52 our -PRON- PRP$ cord-340375-lhv83zac 55 53 expectations expectation NNS cord-340375-lhv83zac 55 54 of of IN cord-340375-lhv83zac 55 55 a a DT cord-340375-lhv83zac 55 56 much much RB cord-340375-lhv83zac 55 57 higher high JJR cord-340375-lhv83zac 55 58 upper upper JJ cord-340375-lhv83zac 55 59 asymptote asymptote NN cord-340375-lhv83zac 55 60 ( ( -LRB- cord-340375-lhv83zac 55 61 K K NNP cord-340375-lhv83zac 55 62 ) ) -RRB- cord-340375-lhv83zac 55 63 ; ; : cord-340375-lhv83zac 55 64 switching switch VBG cord-340375-lhv83zac 55 65 to to IN cord-340375-lhv83zac 55 66 a a DT cord-340375-lhv83zac 55 67 different different JJ cord-340375-lhv83zac 55 68 , , , cord-340375-lhv83zac 55 69 preferably preferably RB cord-340375-lhv83zac 55 70 more more RBR cord-340375-lhv83zac 55 71 mechanistic mechanistic JJ cord-340375-lhv83zac 55 72 approach approach NN cord-340375-lhv83zac 55 73 altogether altogether RB cord-340375-lhv83zac 55 74 . . . cord-340375-lhv83zac 56 1 Instead instead RB cord-340375-lhv83zac 56 2 , , , cord-340375-lhv83zac 56 3 we -PRON- PRP cord-340375-lhv83zac 56 4 attempted attempt VBD cord-340375-lhv83zac 56 5 to to TO cord-340375-lhv83zac 56 6 construct construct VB cord-340375-lhv83zac 56 7 a a DT cord-340375-lhv83zac 56 8 more more RBR cord-340375-lhv83zac 56 9 accurate accurate JJ cord-340375-lhv83zac 56 10 model model NN cord-340375-lhv83zac 56 11 within within IN cord-340375-lhv83zac 56 12 the the DT cord-340375-lhv83zac 56 13 same same JJ cord-340375-lhv83zac 56 14 logistic logistic JJ cord-340375-lhv83zac 56 15 growth growth NN cord-340375-lhv83zac 56 16 paradigm paradigm NN cord-340375-lhv83zac 56 17 in in IN cord-340375-lhv83zac 56 18 a a DT cord-340375-lhv83zac 56 19 different different JJ cord-340375-lhv83zac 56 20 way way NN cord-340375-lhv83zac 56 21 : : : cord-340375-lhv83zac 56 22 we -PRON- PRP cord-340375-lhv83zac 56 23 introduced introduce VBD cord-340375-lhv83zac 56 24 weights weight NNS cord-340375-lhv83zac 56 25 to to IN cord-340375-lhv83zac 56 26 our -PRON- PRP$ cord-340375-lhv83zac 56 27 data data NN cord-340375-lhv83zac 56 28 points point NNS cord-340375-lhv83zac 56 29 with with IN cord-340375-lhv83zac 56 30 later later JJ cord-340375-lhv83zac 56 31 data data NN cord-340375-lhv83zac 56 32 points point NNS cord-340375-lhv83zac 56 33 receiving receive VBG cord-340375-lhv83zac 56 34 higher high JJR cord-340375-lhv83zac 56 35 weights weight NNS cord-340375-lhv83zac 56 36 than than IN cord-340375-lhv83zac 56 37 older old JJR cord-340375-lhv83zac 56 38 ones one NNS cord-340375-lhv83zac 56 39 in in IN cord-340375-lhv83zac 56 40 the the DT cord-340375-lhv83zac 56 41 hope hope NN cord-340375-lhv83zac 56 42 that that IN cord-340375-lhv83zac 56 43 this this DT cord-340375-lhv83zac 56 44 will will MD cord-340375-lhv83zac 56 45 alleviate alleviate VB cord-340375-lhv83zac 56 46 some some DT cord-340375-lhv83zac 56 47 of of IN cord-340375-lhv83zac 56 48 the the DT cord-340375-lhv83zac 56 49 problems problem NNS cord-340375-lhv83zac 56 50 observed observe VBN cord-340375-lhv83zac 56 51 above above RB cord-340375-lhv83zac 56 52 . . . cord-340375-lhv83zac 57 1 Specifically specifically RB cord-340375-lhv83zac 57 2 , , , cord-340375-lhv83zac 57 3 we -PRON- PRP cord-340375-lhv83zac 57 4 weighted weight VBD cord-340375-lhv83zac 57 5 the the DT cord-340375-lhv83zac 57 6 points point NNS cord-340375-lhv83zac 57 7 according accord VBG cord-340375-lhv83zac 57 8 to to IN cord-340375-lhv83zac 57 9 a a DT cord-340375-lhv83zac 57 10 Rectified rectify VBN cord-340375-lhv83zac 57 11 . . . cord-340375-lhv83zac 58 1 CC CC NNP cord-340375-lhv83zac 58 2 - - HYPH cord-340375-lhv83zac 58 3 BY BY NNP cord-340375-lhv83zac 58 4 - - HYPH cord-340375-lhv83zac 58 5 NC NC NNP cord-340375-lhv83zac 58 6 - - HYPH cord-340375-lhv83zac 58 7 ND ND NNP cord-340375-lhv83zac 58 8 4.0 4.0 CD cord-340375-lhv83zac 58 9 International international JJ cord-340375-lhv83zac 58 10 license license NN cord-340375-lhv83zac 59 1 It -PRON- PRP cord-340375-lhv83zac 59 2 is be VBZ cord-340375-lhv83zac 59 3 made make VBN cord-340375-lhv83zac 59 4 available available JJ cord-340375-lhv83zac 59 5 under under IN cord-340375-lhv83zac 59 6 a a DT cord-340375-lhv83zac 60 1 is be VBZ cord-340375-lhv83zac 60 2 the the DT cord-340375-lhv83zac 60 3 author author NN cord-340375-lhv83zac 60 4 / / SYM cord-340375-lhv83zac 60 5 funder funder NN cord-340375-lhv83zac 60 6 , , , cord-340375-lhv83zac 60 7 who who WP cord-340375-lhv83zac 60 8 has have VBZ cord-340375-lhv83zac 60 9 granted grant VBN cord-340375-lhv83zac 60 10 medRxiv medRxiv NNS cord-340375-lhv83zac 60 11 a a DT cord-340375-lhv83zac 60 12 license license NN cord-340375-lhv83zac 60 13 to to TO cord-340375-lhv83zac 60 14 display display VB cord-340375-lhv83zac 60 15 the the DT cord-340375-lhv83zac 60 16 preprint preprint NN cord-340375-lhv83zac 60 17 in in IN cord-340375-lhv83zac 60 18 perpetuity perpetuity NN cord-340375-lhv83zac 60 19 . . . cord-340375-lhv83zac 61 1 The the DT cord-340375-lhv83zac 61 2 copyright copyright NN cord-340375-lhv83zac 61 3 holder holder NN cord-340375-lhv83zac 61 4 for for IN cord-340375-lhv83zac 61 5 this this DT cord-340375-lhv83zac 61 6 preprint preprint NN cord-340375-lhv83zac 61 7 . . . cord-340375-lhv83zac 62 1 https://doi.org/10 https://doi.org/10 NNP cord-340375-lhv83zac 62 2 . . . cord-340375-lhv83zac 63 1 1101 1101 CD cord-340375-lhv83zac 63 2 /2020 /2020 . cord-340375-lhv83zac 64 1 Linear linear JJ cord-340375-lhv83zac 64 2 - - HYPH cord-340375-lhv83zac 64 3 like like JJ cord-340375-lhv83zac 64 4 function function NN cord-340375-lhv83zac 64 5 ( ( -LRB- cord-340375-lhv83zac 64 6 e.g. e.g. JJ cord-340375-lhv83zac 64 7 Glorot Glorot NNP cord-340375-lhv83zac 64 8 et et NNP cord-340375-lhv83zac 64 9 al al NNP cord-340375-lhv83zac 64 10 . . NNP cord-340375-lhv83zac 64 11 , , , cord-340375-lhv83zac 64 12 2011 2011 CD cord-340375-lhv83zac 64 13 ) ) -RRB- cord-340375-lhv83zac 64 14 whereby whereby WRB cord-340375-lhv83zac 64 15 the the DT cord-340375-lhv83zac 64 16 first first JJ cord-340375-lhv83zac 64 17 20 20 CD cord-340375-lhv83zac 64 18 observations observation NNS cord-340375-lhv83zac 64 19 received receive VBD cord-340375-lhv83zac 64 20 constant constant JJ cord-340375-lhv83zac 64 21 ( ( -LRB- cord-340375-lhv83zac 64 22 0.008 0.008 CD cord-340375-lhv83zac 64 23 ) ) -RRB- cord-340375-lhv83zac 64 24 low low JJ cord-340375-lhv83zac 64 25 weights weight NNS cord-340375-lhv83zac 64 26 and and CC cord-340375-lhv83zac 64 27 the the DT cord-340375-lhv83zac 64 28 last last JJ cord-340375-lhv83zac 64 29 8 8 CD cord-340375-lhv83zac 64 30 observations observation NNS cord-340375-lhv83zac 64 31 received receive VBN cord-340375-lhv83zac 64 32 linearly linearly RB cord-340375-lhv83zac 64 33 increasing increase VBG cord-340375-lhv83zac 64 34 higher high JJR cord-340375-lhv83zac 64 35 weights weight NNS cord-340375-lhv83zac 64 36 ( ( -LRB- cord-340375-lhv83zac 64 37 last last JJ cord-340375-lhv83zac 64 38 8 8 CD cord-340375-lhv83zac 64 39 weights=[0.77 weights=[0.77 NNP cord-340375-lhv83zac 64 40 1.55 1.55 CD cord-340375-lhv83zac 64 41 2.32 2.32 CD cord-340375-lhv83zac 64 42 3.09 3.09 CD cord-340375-lhv83zac 64 43 3.87 3.87 CD cord-340375-lhv83zac 64 44 4.64 4.64 CD cord-340375-lhv83zac 64 45 5.41 5.41 CD cord-340375-lhv83zac 64 46 6.19 6.19 CD cord-340375-lhv83zac 64 47 ] ] -RRB- cord-340375-lhv83zac 64 48 ) ) -RRB- cord-340375-lhv83zac 64 49 . . . cord-340375-lhv83zac 65 1 The the DT cord-340375-lhv83zac 65 2 idea idea NN cord-340375-lhv83zac 65 3 behind behind IN cord-340375-lhv83zac 65 4 this this DT cord-340375-lhv83zac 65 5 scheme scheme NN cord-340375-lhv83zac 65 6 was be VBD cord-340375-lhv83zac 65 7 to to TO cord-340375-lhv83zac 65 8 try try VB cord-340375-lhv83zac 65 9 to to TO cord-340375-lhv83zac 65 10 force force VB cord-340375-lhv83zac 65 11 the the DT cord-340375-lhv83zac 65 12 model model NN cord-340375-lhv83zac 65 13 to to TO cord-340375-lhv83zac 65 14 account account VB cord-340375-lhv83zac 65 15 better well RBR cord-340375-lhv83zac 65 16 for for IN cord-340375-lhv83zac 65 17 the the DT cord-340375-lhv83zac 65 18 observations observation NNS cord-340375-lhv83zac 65 19 following follow VBG cord-340375-lhv83zac 65 20 the the DT cord-340375-lhv83zac 65 21 approximately approximately RB cord-340375-lhv83zac 65 22 linear linear JJ cord-340375-lhv83zac 65 23 trend trend NN cord-340375-lhv83zac 65 24 observed observe VBN cord-340375-lhv83zac 65 25 in in IN cord-340375-lhv83zac 65 26 the the DT cord-340375-lhv83zac 65 27 upper upper JJ cord-340375-lhv83zac 65 28 half half NN cord-340375-lhv83zac 65 29 of of IN cord-340375-lhv83zac 65 30 Fig Fig NNP cord-340375-lhv83zac 65 31 . . . cord-340375-lhv83zac 66 1 2 2 LS cord-340375-lhv83zac 66 2 . . . cord-340375-lhv83zac 67 1 Note note VB cord-340375-lhv83zac 67 2 also also RB cord-340375-lhv83zac 67 3 that that IN cord-340375-lhv83zac 67 4 the the DT cord-340375-lhv83zac 67 5 weights weight NNS cord-340375-lhv83zac 67 6 sum sum VBP cord-340375-lhv83zac 67 7 to to IN cord-340375-lhv83zac 67 8 the the DT cord-340375-lhv83zac 67 9 number number NN cord-340375-lhv83zac 67 10 of of IN cord-340375-lhv83zac 67 11 original original JJ cord-340375-lhv83zac 67 12 observations observation NNS cord-340375-lhv83zac 67 13 ( ( -LRB- cord-340375-lhv83zac 67 14 28 28 CD cord-340375-lhv83zac 67 15 ) ) -RRB- cord-340375-lhv83zac 67 16 . . . cord-340375-lhv83zac 68 1 The the DT cord-340375-lhv83zac 68 2 weights weight NNS cord-340375-lhv83zac 68 3 pattern pattern NN cord-340375-lhv83zac 68 4 is be VBZ cord-340375-lhv83zac 68 5 shown show VBN cord-340375-lhv83zac 68 6 in in IN cord-340375-lhv83zac 68 7 Fig Fig NNP cord-340375-lhv83zac 68 8 . . . cord-340375-lhv83zac 69 1 3 3 LS cord-340375-lhv83zac 69 2 . . . cord-340375-lhv83zac 70 1 In in IN cord-340375-lhv83zac 70 2 the the DT cord-340375-lhv83zac 70 3 subsequent subsequent JJ cord-340375-lhv83zac 70 4 simulations simulation NNS cord-340375-lhv83zac 70 5 we -PRON- PRP cord-340375-lhv83zac 70 6 used use VBD cord-340375-lhv83zac 70 7 the the DT cord-340375-lhv83zac 70 8 proposed propose VBN cord-340375-lhv83zac 70 9 weights weight NNS cord-340375-lhv83zac 70 10 in in IN cord-340375-lhv83zac 70 11 order order NN cord-340375-lhv83zac 70 12 to to TO cord-340375-lhv83zac 70 13 weigh weigh VB cord-340375-lhv83zac 70 14 the the DT cord-340375-lhv83zac 70 15 likelihood likelihood NN cord-340375-lhv83zac 70 16 function function NN cord-340375-lhv83zac 70 17 of of IN cord-340375-lhv83zac 70 18 the the DT cord-340375-lhv83zac 70 19 model model NN cord-340375-lhv83zac 70 20 . . . cord-340375-lhv83zac 71 1 Following follow VBG cord-340375-lhv83zac 71 2 Simeckova Simeckova NNP cord-340375-lhv83zac 71 3 ( ( -LRB- cord-340375-lhv83zac 71 4 2005 2005 CD cord-340375-lhv83zac 71 5 ) ) -RRB- cord-340375-lhv83zac 71 6 , , , cord-340375-lhv83zac 71 7 assuming assume VBG cord-340375-lhv83zac 71 8 we -PRON- PRP cord-340375-lhv83zac 71 9 have have VBP cord-340375-lhv83zac 71 10 observations observation NNS cord-340375-lhv83zac 71 11 Y Y NNP cord-340375-lhv83zac 71 12 1 1 CD cord-340375-lhv83zac 71 13 , , , cord-340375-lhv83zac 71 14 … … NFP cord-340375-lhv83zac 71 15 Y y NN cord-340375-lhv83zac 71 16 n n NNP cord-340375-lhv83zac 71 17 and and CC cord-340375-lhv83zac 71 18 Y Y NNP cord-340375-lhv83zac 71 19 i i PRP cord-340375-lhv83zac 71 20 has have VBZ cord-340375-lhv83zac 71 21 density density NN cord-340375-lhv83zac 71 22 f f NN cord-340375-lhv83zac 72 1 i i PRP cord-340375-lhv83zac 73 1 ( ( -LRB- cord-340375-lhv83zac 73 2 Y y NN cord-340375-lhv83zac 73 3 i i NN cord-340375-lhv83zac 73 4 |θ |θ NN cord-340375-lhv83zac 73 5 ) ) -RRB- cord-340375-lhv83zac 73 6 where where WRB cord-340375-lhv83zac 73 7 θ θ NNP cord-340375-lhv83zac 73 8 is be VBZ cord-340375-lhv83zac 73 9 the the DT cord-340375-lhv83zac 73 10 vector vector NN cord-340375-lhv83zac 73 11 of of IN cord-340375-lhv83zac 73 12 parameters parameter NNS cord-340375-lhv83zac 73 13 ( ( -LRB- cord-340375-lhv83zac 73 14 see see VB cord-340375-lhv83zac 73 15 Eq Eq NNP cord-340375-lhv83zac 73 16 . . NNP cord-340375-lhv83zac 73 17 2 2 LS cord-340375-lhv83zac 73 18 ) ) -RRB- cord-340375-lhv83zac 73 19 , , , cord-340375-lhv83zac 73 20 we -PRON- PRP cord-340375-lhv83zac 73 21 apply apply VBP cord-340375-lhv83zac 73 22 the the DT cord-340375-lhv83zac 73 23 weights weight NNS cord-340375-lhv83zac 73 24 vector vector NN cord-340375-lhv83zac 74 1 w=[w w=[w CD cord-340375-lhv83zac 74 2 1 1 CD cord-340375-lhv83zac 74 3 , , , cord-340375-lhv83zac 74 4 … … NFP cord-340375-lhv83zac 75 1 w w NNP cord-340375-lhv83zac 75 2 n n NNP cord-340375-lhv83zac 75 3 ] ] -RRB- cord-340375-lhv83zac 75 4 . . . cord-340375-lhv83zac 76 1 If if IN cord-340375-lhv83zac 76 2 we -PRON- PRP cord-340375-lhv83zac 76 3 let let VBP cord-340375-lhv83zac 76 4 l l NN cord-340375-lhv83zac 76 5 i i PRP cord-340375-lhv83zac 77 1 ( ( -LRB- cord-340375-lhv83zac 77 2 θ)=log(f θ)=log(f NNP cord-340375-lhv83zac 78 1 i i PRP cord-340375-lhv83zac 78 2 ( ( -LRB- cord-340375-lhv83zac 78 3 Y Y NNP cord-340375-lhv83zac 78 4 i i NN cord-340375-lhv83zac 78 5 |θ |θ NN cord-340375-lhv83zac 78 6 ) ) -RRB- cord-340375-lhv83zac 78 7 ) ) -RRB- cord-340375-lhv83zac 78 8 , , , cord-340375-lhv83zac 78 9 the the DT cord-340375-lhv83zac 78 10 weighted weighted JJ cord-340375-lhv83zac 78 11 loglikelihood loglikelihood NN cord-340375-lhv83zac 78 12 function function NN cord-340375-lhv83zac 78 13 of of IN cord-340375-lhv83zac 78 14 our -PRON- PRP$ cord-340375-lhv83zac 78 15 model model NN cord-340375-lhv83zac 78 16 becomes become VBZ cord-340375-lhv83zac 78 17 : : : cord-340375-lhv83zac 79 1 3 3 LS cord-340375-lhv83zac 79 2 . . . cord-340375-lhv83zac 80 1 Simulation simulation NN cord-340375-lhv83zac 80 2 2 2 CD cord-340375-lhv83zac 80 3 . . . cord-340375-lhv83zac 81 1 We -PRON- PRP cord-340375-lhv83zac 81 2 used use VBD cord-340375-lhv83zac 81 3 the the DT cord-340375-lhv83zac 81 4 above above JJ cord-340375-lhv83zac 81 5 weighing weigh VBG cord-340375-lhv83zac 81 6 scheme scheme NN cord-340375-lhv83zac 81 7 and and CC cord-340375-lhv83zac 81 8 repeated repeat VBD cord-340375-lhv83zac 81 9 the the DT cord-340375-lhv83zac 81 10 previous previous JJ cord-340375-lhv83zac 81 11 simulation simulation NN cord-340375-lhv83zac 81 12 . . . cord-340375-lhv83zac 82 1 In in IN cord-340375-lhv83zac 82 2 that that DT cord-340375-lhv83zac 82 3 sense sense NN cord-340375-lhv83zac 82 4 we -PRON- PRP cord-340375-lhv83zac 82 5 altered alter VBD cord-340375-lhv83zac 82 6 the the DT cord-340375-lhv83zac 82 7 likelihood likelihood NN cord-340375-lhv83zac 82 8 function function NN cord-340375-lhv83zac 82 9 while while IN cord-340375-lhv83zac 82 10 leaving leave VBG cord-340375-lhv83zac 82 11 the the DT cord-340375-lhv83zac 82 12 prior prior JJ cord-340375-lhv83zac 82 13 distributions distribution NNS cord-340375-lhv83zac 82 14 intact intact JJ cord-340375-lhv83zac 82 15 . . . cord-340375-lhv83zac 83 1 Everything everything NN cord-340375-lhv83zac 83 2 else else RB cord-340375-lhv83zac 83 3 ( ( -LRB- cord-340375-lhv83zac 83 4 including include VBG cord-340375-lhv83zac 83 5 the the DT cord-340375-lhv83zac 83 6 simulation simulation NN cord-340375-lhv83zac 83 7 details detail NNS cord-340375-lhv83zac 83 8 such such JJ cord-340375-lhv83zac 83 9 as as IN cord-340375-lhv83zac 83 10 number number NN cord-340375-lhv83zac 83 11 of of IN cord-340375-lhv83zac 83 12 posterior posterior JJ cord-340375-lhv83zac 83 13 draws draw NNS cord-340375-lhv83zac 83 14 , , , cord-340375-lhv83zac 83 15 thinning thinning NN cord-340375-lhv83zac 83 16 , , , cord-340375-lhv83zac 83 17 etc etc FW cord-340375-lhv83zac 83 18 . . . cord-340375-lhv83zac 83 19 ) ) -RRB- cord-340375-lhv83zac 83 20 was be VBD cord-340375-lhv83zac 83 21 the the DT cord-340375-lhv83zac 83 22 same same JJ cord-340375-lhv83zac 83 23 as as IN cord-340375-lhv83zac 83 24 reported report VBN cord-340375-lhv83zac 83 25 in in IN cord-340375-lhv83zac 83 26 Section section NN cord-340375-lhv83zac 83 27 2 2 CD cord-340375-lhv83zac 83 28 . . . cord-340375-lhv83zac 84 1 Again again RB cord-340375-lhv83zac 84 2 , , , cord-340375-lhv83zac 84 3 we -PRON- PRP cord-340375-lhv83zac 84 4 observed observe VBD cord-340375-lhv83zac 84 5 . . . cord-340375-lhv83zac 85 1 CC CC NNP cord-340375-lhv83zac 85 2 - - HYPH cord-340375-lhv83zac 85 3 BY BY NNP cord-340375-lhv83zac 85 4 - - HYPH cord-340375-lhv83zac 85 5 NC NC NNP cord-340375-lhv83zac 85 6 - - HYPH cord-340375-lhv83zac 85 7 ND ND NNP cord-340375-lhv83zac 85 8 4.0 4.0 CD cord-340375-lhv83zac 85 9 International international JJ cord-340375-lhv83zac 85 10 license license NN cord-340375-lhv83zac 86 1 It -PRON- PRP cord-340375-lhv83zac 86 2 is be VBZ cord-340375-lhv83zac 86 3 made make VBN cord-340375-lhv83zac 86 4 available available JJ cord-340375-lhv83zac 86 5 under under IN cord-340375-lhv83zac 86 6 a a DT cord-340375-lhv83zac 87 1 is be VBZ cord-340375-lhv83zac 87 2 the the DT cord-340375-lhv83zac 87 3 author author NN cord-340375-lhv83zac 87 4 / / SYM cord-340375-lhv83zac 87 5 funder funder NN cord-340375-lhv83zac 87 6 , , , cord-340375-lhv83zac 87 7 who who WP cord-340375-lhv83zac 87 8 has have VBZ cord-340375-lhv83zac 87 9 granted grant VBN cord-340375-lhv83zac 87 10 medRxiv medRxiv NNS cord-340375-lhv83zac 87 11 a a DT cord-340375-lhv83zac 87 12 license license NN cord-340375-lhv83zac 87 13 to to TO cord-340375-lhv83zac 87 14 display display VB cord-340375-lhv83zac 87 15 the the DT cord-340375-lhv83zac 87 16 preprint preprint NN cord-340375-lhv83zac 87 17 in in IN cord-340375-lhv83zac 87 18 perpetuity perpetuity NN cord-340375-lhv83zac 87 19 . . . cord-340375-lhv83zac 88 1 The the DT cord-340375-lhv83zac 88 2 copyright copyright NN cord-340375-lhv83zac 88 3 holder holder NN cord-340375-lhv83zac 88 4 for for IN cord-340375-lhv83zac 88 5 this this DT cord-340375-lhv83zac 88 6 preprint preprint NN cord-340375-lhv83zac 88 7 . . . cord-340375-lhv83zac 89 1 https://doi.org/10 https://doi.org/10 NNP cord-340375-lhv83zac 89 2 . . . cord-340375-lhv83zac 90 1 1101 1101 CD cord-340375-lhv83zac 90 2 /2020 /2020 . cord-340375-lhv83zac 91 1 good good JJ cord-340375-lhv83zac 91 2 convergence convergence NN cord-340375-lhv83zac 91 3 for for IN cord-340375-lhv83zac 91 4 all all DT cord-340375-lhv83zac 91 5 parameters parameter NNS cord-340375-lhv83zac 91 6 ( ( -LRB- cord-340375-lhv83zac 91 7 see see VB cord-340375-lhv83zac 91 8 Fig Fig NNP cord-340375-lhv83zac 91 9 . . . cord-340375-lhv83zac 92 1 4 4 LS cord-340375-lhv83zac 92 2 depicting depict VBG cord-340375-lhv83zac 92 3 a a DT cord-340375-lhv83zac 92 4 traceplot traceplot NN cord-340375-lhv83zac 92 5 and and CC cord-340375-lhv83zac 92 6 a a DT cord-340375-lhv83zac 92 7 histogram histogram NN cord-340375-lhv83zac 92 8 for for IN cord-340375-lhv83zac 92 9 the the DT cord-340375-lhv83zac 92 10 K K NNP cord-340375-lhv83zac 92 11 parameter parameter NN cord-340375-lhv83zac 92 12 ) ) -RRB- cord-340375-lhv83zac 92 13 . . . cord-340375-lhv83zac 93 1 Table table NN cord-340375-lhv83zac 93 2 3 3 CD cord-340375-lhv83zac 93 3 gives give VBZ cord-340375-lhv83zac 93 4 a a DT cord-340375-lhv83zac 93 5 summary summary NN cord-340375-lhv83zac 93 6 for for IN cord-340375-lhv83zac 93 7 the the DT cord-340375-lhv83zac 93 8 posterior posterior JJ cord-340375-lhv83zac 93 9 estimates estimate NNS cord-340375-lhv83zac 93 10 3 3 CD cord-340375-lhv83zac 93 11 . . . cord-340375-lhv83zac 94 1 We -PRON- PRP cord-340375-lhv83zac 94 2 see see VBP cord-340375-lhv83zac 94 3 that that IN cord-340375-lhv83zac 94 4 our -PRON- PRP$ cord-340375-lhv83zac 94 5 weighting weighting NN cord-340375-lhv83zac 94 6 scheme scheme NN cord-340375-lhv83zac 94 7 appears appear VBZ cord-340375-lhv83zac 94 8 to to TO cord-340375-lhv83zac 94 9 give give VB cord-340375-lhv83zac 94 10 more more RBR cord-340375-lhv83zac 94 11 reasonable reasonable JJ cord-340375-lhv83zac 94 12 results result NNS cord-340375-lhv83zac 94 13 and and CC cord-340375-lhv83zac 94 14 that that IN cord-340375-lhv83zac 94 15 the the DT cord-340375-lhv83zac 94 16 estimates estimate NNS cord-340375-lhv83zac 94 17 for for IN cord-340375-lhv83zac 94 18 the the DT cord-340375-lhv83zac 94 19 upper upper JJ cord-340375-lhv83zac 94 20 asymptote asymptote NN cord-340375-lhv83zac 94 21 . . . cord-340375-lhv83zac 95 1 CC CC NNP cord-340375-lhv83zac 95 2 - - HYPH cord-340375-lhv83zac 95 3 BY BY NNP cord-340375-lhv83zac 95 4 - - HYPH cord-340375-lhv83zac 95 5 NC NC NNP cord-340375-lhv83zac 95 6 - - HYPH cord-340375-lhv83zac 95 7 ND ND NNP cord-340375-lhv83zac 95 8 4.0 4.0 CD cord-340375-lhv83zac 95 9 International international JJ cord-340375-lhv83zac 95 10 license license NN cord-340375-lhv83zac 96 1 It -PRON- PRP cord-340375-lhv83zac 96 2 is be VBZ cord-340375-lhv83zac 96 3 made make VBN cord-340375-lhv83zac 96 4 available available JJ cord-340375-lhv83zac 96 5 under under IN cord-340375-lhv83zac 96 6 a a DT cord-340375-lhv83zac 97 1 is be VBZ cord-340375-lhv83zac 97 2 the the DT cord-340375-lhv83zac 97 3 author author NN cord-340375-lhv83zac 97 4 / / SYM cord-340375-lhv83zac 97 5 funder funder NN cord-340375-lhv83zac 97 6 , , , cord-340375-lhv83zac 97 7 who who WP cord-340375-lhv83zac 97 8 has have VBZ cord-340375-lhv83zac 97 9 granted grant VBN cord-340375-lhv83zac 97 10 medRxiv medRxiv NNS cord-340375-lhv83zac 97 11 a a DT cord-340375-lhv83zac 97 12 license license NN cord-340375-lhv83zac 97 13 to to TO cord-340375-lhv83zac 97 14 display display VB cord-340375-lhv83zac 97 15 the the DT cord-340375-lhv83zac 97 16 preprint preprint NN cord-340375-lhv83zac 97 17 in in IN cord-340375-lhv83zac 97 18 perpetuity perpetuity NN cord-340375-lhv83zac 97 19 . . . cord-340375-lhv83zac 98 1 The the DT cord-340375-lhv83zac 98 2 copyright copyright NN cord-340375-lhv83zac 98 3 holder holder NN cord-340375-lhv83zac 98 4 for for IN cord-340375-lhv83zac 98 5 this this DT cord-340375-lhv83zac 98 6 preprint preprint NN cord-340375-lhv83zac 98 7 . . . cord-340375-lhv83zac 99 1 https://doi.org/10.1101/2020.04.05.20054577 https://doi.org/10.1101/2020.04.05.20054577 CD cord-340375-lhv83zac 99 2 doi doi NN cord-340375-lhv83zac 99 3 : : : cord-340375-lhv83zac 100 1 medRxiv medRxiv NNS cord-340375-lhv83zac 100 2 preprint preprint VBP cord-340375-lhv83zac 100 3 the the DT cord-340375-lhv83zac 100 4 fitted fit VBN cord-340375-lhv83zac 100 5 equation equation NN cord-340375-lhv83zac 100 6 against against IN cord-340375-lhv83zac 100 7 the the DT cord-340375-lhv83zac 100 8 observed observed JJ cord-340375-lhv83zac 100 9 data datum NNS cord-340375-lhv83zac 100 10 ( ( -LRB- cord-340375-lhv83zac 100 11 Fig Fig NNP cord-340375-lhv83zac 100 12 . . NNP cord-340375-lhv83zac 100 13 5 5 CD cord-340375-lhv83zac 100 14 ) ) -RRB- cord-340375-lhv83zac 100 15 . . . cord-340375-lhv83zac 101 1 It -PRON- PRP cord-340375-lhv83zac 101 2 is be VBZ cord-340375-lhv83zac 101 3 clear clear JJ cord-340375-lhv83zac 101 4 that that IN cord-340375-lhv83zac 101 5 the the DT cord-340375-lhv83zac 101 6 fitted fit VBN cord-340375-lhv83zac 101 7 curve curve NN cord-340375-lhv83zac 101 8 is be VBZ cord-340375-lhv83zac 101 9 much much RB cord-340375-lhv83zac 101 10 more more RBR cord-340375-lhv83zac 101 11 affected affect VBN cord-340375-lhv83zac 101 12 by by IN cord-340375-lhv83zac 101 13 the the DT cord-340375-lhv83zac 101 14 later later JJ cord-340375-lhv83zac 101 15 points point NNS cord-340375-lhv83zac 101 16 and and CC cord-340375-lhv83zac 101 17 consequently consequently RB cord-340375-lhv83zac 101 18 the the DT cord-340375-lhv83zac 101 19 upper upper JJ cord-340375-lhv83zac 101 20 asymptote asymptote NN cord-340375-lhv83zac 101 21 is be VBZ cord-340375-lhv83zac 101 22 higher high JJR cord-340375-lhv83zac 101 23 than than IN cord-340375-lhv83zac 101 24 before before RB cord-340375-lhv83zac 101 25 ( ( -LRB- cord-340375-lhv83zac 101 26 compare compare VB cord-340375-lhv83zac 101 27 also also RB cord-340375-lhv83zac 101 28 Tables table NNS cord-340375-lhv83zac 101 29 3 3 CD cord-340375-lhv83zac 101 30 and and CC cord-340375-lhv83zac 101 31 1 1 CD cord-340375-lhv83zac 101 32 ) ) -RRB- cord-340375-lhv83zac 102 1 Table table NN cord-340375-lhv83zac 102 2 3 3 CD cord-340375-lhv83zac 102 3 . . . cord-340375-lhv83zac 103 1 Means mean NNS cord-340375-lhv83zac 103 2 , , , cord-340375-lhv83zac 103 3 medians median NNS cord-340375-lhv83zac 103 4 , , , cord-340375-lhv83zac 103 5 standard standard JJ cord-340375-lhv83zac 103 6 deviations deviation NNS cord-340375-lhv83zac 103 7 ( ( -LRB- cord-340375-lhv83zac 103 8 SD SD NNP cord-340375-lhv83zac 103 9 ) ) -RRB- cord-340375-lhv83zac 103 10 , , , cord-340375-lhv83zac 103 11 and and CC cord-340375-lhv83zac 103 12 95 95 CD cord-340375-lhv83zac 103 13 % % NN cord-340375-lhv83zac 103 14 HDIs hdi NNS cord-340375-lhv83zac 103 15 for for IN cord-340375-lhv83zac 103 16 the the DT cord-340375-lhv83zac 103 17 parameters parameter NNS cord-340375-lhv83zac 103 18 of of IN cord-340375-lhv83zac 103 19 Eq Eq NNP cord-340375-lhv83zac 103 20 . . . cord-340375-lhv83zac 104 1 2 2 LS cord-340375-lhv83zac 104 2 obtained obtain VBN cord-340375-lhv83zac 104 3 from from IN cord-340375-lhv83zac 104 4 the the DT cord-340375-lhv83zac 104 5 posterior posterior NN cord-340375-lhv83zac 104 6 of of IN cord-340375-lhv83zac 104 7 our -PRON- PRP$ cord-340375-lhv83zac 104 8 second second JJ cord-340375-lhv83zac 104 9 ( ( -LRB- cord-340375-lhv83zac 104 10 weighted weighted JJ cord-340375-lhv83zac 104 11 ) ) -RRB- cord-340375-lhv83zac 104 12 model model NN cord-340375-lhv83zac 104 13 . . . cord-340375-lhv83zac 105 1 Table table NN cord-340375-lhv83zac 105 2 3 3 CD cord-340375-lhv83zac 105 3 . . . cord-340375-lhv83zac 106 1 We -PRON- PRP cord-340375-lhv83zac 106 2 see see VBP cord-340375-lhv83zac 106 3 that that IN cord-340375-lhv83zac 106 4 this this DT cord-340375-lhv83zac 106 5 time time NN cord-340375-lhv83zac 106 6 the the DT cord-340375-lhv83zac 106 7 model model NN cord-340375-lhv83zac 106 8 accurately accurately RB cord-340375-lhv83zac 106 9 predicts predict VBZ cord-340375-lhv83zac 106 10 two two CD cord-340375-lhv83zac 106 11 consequent consequent JJ cord-340375-lhv83zac 106 12 data data NN cord-340375-lhv83zac 106 13 points point NNS cord-340375-lhv83zac 106 14 and and CC cord-340375-lhv83zac 106 15 fails fail VBZ cord-340375-lhv83zac 106 16 to to TO cord-340375-lhv83zac 106 17 predict predict VB cord-340375-lhv83zac 106 18 the the DT cord-340375-lhv83zac 106 19 third third NN cord-340375-lhv83zac 106 20 . . . cord-340375-lhv83zac 107 1 This this DT cord-340375-lhv83zac 107 2 is be VBZ cord-340375-lhv83zac 107 3 still still RB cord-340375-lhv83zac 107 4 not not RB cord-340375-lhv83zac 107 5 a a DT cord-340375-lhv83zac 107 6 satisfactory satisfactory JJ cord-340375-lhv83zac 107 7 performance performance NN cord-340375-lhv83zac 107 8 , , , cord-340375-lhv83zac 107 9 however however RB cord-340375-lhv83zac 107 10 , , , cord-340375-lhv83zac 107 11 and and CC cord-340375-lhv83zac 107 12 hints hint NNS cord-340375-lhv83zac 107 13 towards towards IN cord-340375-lhv83zac 107 14 the the DT cord-340375-lhv83zac 107 15 possibility possibility NN cord-340375-lhv83zac 107 16 that that IN cord-340375-lhv83zac 107 17 the the DT cord-340375-lhv83zac 107 18 actual actual JJ cord-340375-lhv83zac 107 19 process process NN cord-340375-lhv83zac 107 20 exhibits exhibit VBZ cord-340375-lhv83zac 107 21 steeper steep JJR cord-340375-lhv83zac 107 22 rise rise NN cord-340375-lhv83zac 107 23 than than IN cord-340375-lhv83zac 107 24 the the DT cord-340375-lhv83zac 107 25 one one NN cord-340375-lhv83zac 107 26 suggested suggest VBN cord-340375-lhv83zac 107 27 by by IN cord-340375-lhv83zac 107 28 the the DT cord-340375-lhv83zac 107 29 model model NN cord-340375-lhv83zac 107 30 . . . cord-340375-lhv83zac 108 1 In in IN cord-340375-lhv83zac 108 2 the the DT cord-340375-lhv83zac 108 3 same same JJ cord-340375-lhv83zac 108 4 way way NN cord-340375-lhv83zac 108 5 , , , cord-340375-lhv83zac 108 6 it -PRON- PRP cord-340375-lhv83zac 108 7 appears appear VBZ cord-340375-lhv83zac 108 8 that that IN cord-340375-lhv83zac 108 9 the the DT cord-340375-lhv83zac 108 10 HDIs hdi NNS cord-340375-lhv83zac 108 11 are be VBP cord-340375-lhv83zac 108 12 not not RB cord-340375-lhv83zac 108 13 wide wide JJ cord-340375-lhv83zac 108 14 enough enough RB cord-340375-lhv83zac 108 15 in in IN cord-340375-lhv83zac 108 16 order order NN cord-340375-lhv83zac 108 17 to to TO cord-340375-lhv83zac 108 18 accommodate accommodate VB cord-340375-lhv83zac 108 19 the the DT cord-340375-lhv83zac 108 20 actual actual JJ cord-340375-lhv83zac 108 21 uncertainty uncertainty NN cord-340375-lhv83zac 108 22 . . . cord-340375-lhv83zac 109 1 Looking look VBG cord-340375-lhv83zac 109 2 at at IN cord-340375-lhv83zac 109 3 figures figure NNS cord-340375-lhv83zac 109 4 2 2 CD cord-340375-lhv83zac 109 5 and and CC cord-340375-lhv83zac 109 6 5 5 CD cord-340375-lhv83zac 109 7 we -PRON- PRP cord-340375-lhv83zac 109 8 see see VBP cord-340375-lhv83zac 109 9 that that IN cord-340375-lhv83zac 109 10 the the DT cord-340375-lhv83zac 109 11 errors error NNS cord-340375-lhv83zac 109 12 , , , cord-340375-lhv83zac 109 13 in in IN cord-340375-lhv83zac 109 14 all all DT cord-340375-lhv83zac 109 15 likelihood likelihood NN cord-340375-lhv83zac 109 16 , , , cord-340375-lhv83zac 109 17 both both DT cord-340375-lhv83zac 109 18 lack lack VBP cord-340375-lhv83zac 109 19 homoscedasticity homoscedasticity NN cord-340375-lhv83zac 109 20 and and CC cord-340375-lhv83zac 109 21 possess possess VBP cord-340375-lhv83zac 109 22 an an DT cord-340375-lhv83zac 109 23 auto auto NN cord-340375-lhv83zac 109 24 - - HYPH cord-340375-lhv83zac 109 25 correlated correlate VBN cord-340375-lhv83zac 109 26 structure structure NN cord-340375-lhv83zac 109 27 . . . cord-340375-lhv83zac 110 1 In in IN cord-340375-lhv83zac 110 2 order order NN cord-340375-lhv83zac 110 3 to to TO cord-340375-lhv83zac 110 4 ( ( -LRB- cord-340375-lhv83zac 110 5 partially partially RB cord-340375-lhv83zac 110 6 ) ) -RRB- cord-340375-lhv83zac 110 7 alleviate alleviate VB cord-340375-lhv83zac 110 8 these these DT cord-340375-lhv83zac 110 9 problems problem NNS cord-340375-lhv83zac 110 10 we -PRON- PRP cord-340375-lhv83zac 110 11 removed remove VBD cord-340375-lhv83zac 110 12 the the DT cord-340375-lhv83zac 110 13 normality normality NN cord-340375-lhv83zac 110 14 assumption assumption NN cord-340375-lhv83zac 110 15 present present JJ cord-340375-lhv83zac 110 16 above above RB cord-340375-lhv83zac 110 17 and and CC cord-340375-lhv83zac 110 18 replaced replace VBD cord-340375-lhv83zac 110 19 it -PRON- PRP cord-340375-lhv83zac 110 20 with with IN cord-340375-lhv83zac 110 21 the the DT cord-340375-lhv83zac 110 22 assumption assumption NN cord-340375-lhv83zac 110 23 that that IN cord-340375-lhv83zac 110 24 the the DT cord-340375-lhv83zac 110 25 errors error NNS cord-340375-lhv83zac 110 26 follow follow VBP cord-340375-lhv83zac 110 27 a a DT cord-340375-lhv83zac 110 28 t t NN cord-340375-lhv83zac 110 29 - - HYPH cord-340375-lhv83zac 110 30 distribution distribution NN cord-340375-lhv83zac 110 31 with with IN cord-340375-lhv83zac 110 32 location location NN cord-340375-lhv83zac 110 33 parameter parameter NN cord-340375-lhv83zac 110 34 equal equal JJ cord-340375-lhv83zac 110 35 to to IN cord-340375-lhv83zac 110 36 0 0 CD cord-340375-lhv83zac 110 37 and and CC cord-340375-lhv83zac 110 38 scale scale NN cord-340375-lhv83zac 110 39 ( ( -LRB- cord-340375-lhv83zac 110 40 similar similar JJ cord-340375-lhv83zac 110 41 to to IN cord-340375-lhv83zac 110 42 the the DT cord-340375-lhv83zac 110 43 standard standard JJ cord-340375-lhv83zac 110 44 deviation deviation NN cord-340375-lhv83zac 110 45 used use VBN cord-340375-lhv83zac 110 46 above above RB cord-340375-lhv83zac 110 47 ) ) -RRB- cord-340375-lhv83zac 110 48 and and CC cord-340375-lhv83zac 110 49 degrees degree NNS cord-340375-lhv83zac 110 50 of of IN cord-340375-lhv83zac 110 51 freedom freedom NN cord-340375-lhv83zac 110 52 ( ( -LRB- cord-340375-lhv83zac 110 53 df df NNP cord-340375-lhv83zac 110 54 ) ) -RRB- cord-340375-lhv83zac 110 55 parameters parameter NNS cord-340375-lhv83zac 110 56 estimated estimate VBN cord-340375-lhv83zac 110 57 from from IN cord-340375-lhv83zac 110 58 the the DT cord-340375-lhv83zac 110 59 data datum NNS cord-340375-lhv83zac 110 60 ( ( -LRB- cord-340375-lhv83zac 110 61 see see VB cord-340375-lhv83zac 110 62 Kruschke Kruschke NNP cord-340375-lhv83zac 110 63 , , , cord-340375-lhv83zac 110 64 2012 2012 CD cord-340375-lhv83zac 110 65 for for IN cord-340375-lhv83zac 110 66 the the DT cord-340375-lhv83zac 110 67 same same JJ cord-340375-lhv83zac 110 68 approach approach NN cord-340375-lhv83zac 110 69 in in IN cord-340375-lhv83zac 110 70 the the DT cord-340375-lhv83zac 110 71 context context NN cord-340375-lhv83zac 110 72 of of IN cord-340375-lhv83zac 110 73 a a DT cord-340375-lhv83zac 110 74 linear linear JJ cord-340375-lhv83zac 110 75 model model NN cord-340375-lhv83zac 110 76 ) ) -RRB- cord-340375-lhv83zac 110 77 . . . cord-340375-lhv83zac 111 1 We -PRON- PRP cord-340375-lhv83zac 111 2 used use VBD cord-340375-lhv83zac 111 3 the the DT cord-340375-lhv83zac 111 4 same same JJ cord-340375-lhv83zac 111 5 weighing weighing NN cord-340375-lhv83zac 111 6 scheme scheme NN cord-340375-lhv83zac 111 7 as as IN cord-340375-lhv83zac 111 8 above above RB cord-340375-lhv83zac 111 9 and and CC cord-340375-lhv83zac 111 10 introduced introduce VBD cord-340375-lhv83zac 111 11 the the DT cord-340375-lhv83zac 111 12 two two CD cord-340375-lhv83zac 111 13 new new JJ cord-340375-lhv83zac 111 14 parameters parameter NNS cord-340375-lhv83zac 111 15 ( ( -LRB- cord-340375-lhv83zac 111 16 scale scale NN cord-340375-lhv83zac 111 17 and and CC cord-340375-lhv83zac 111 18 df df NNP cord-340375-lhv83zac 111 19 ) ) -RRB- cord-340375-lhv83zac 111 20 describing describe VBG cord-340375-lhv83zac 111 21 the the DT cord-340375-lhv83zac 111 22 t t NN cord-340375-lhv83zac 111 23 - - HYPH cord-340375-lhv83zac 111 24 distribution distribution NN cord-340375-lhv83zac 111 25 governing govern VBG cord-340375-lhv83zac 111 26 the the DT cord-340375-lhv83zac 111 27 model model NN cord-340375-lhv83zac 111 28 's 's POS cord-340375-lhv83zac 111 29 errors error NNS cord-340375-lhv83zac 111 30 . . . cord-340375-lhv83zac 112 1 We -PRON- PRP cord-340375-lhv83zac 112 2 again again RB cord-340375-lhv83zac 112 3 proposed propose VBD cord-340375-lhv83zac 112 4 the the DT cord-340375-lhv83zac 112 5 first first JJ cord-340375-lhv83zac 112 6 four four CD cord-340375-lhv83zac 112 7 parameters parameter NNS cord-340375-lhv83zac 112 8 of of IN cord-340375-lhv83zac 112 9 the the DT cord-340375-lhv83zac 112 10 model model NN cord-340375-lhv83zac 112 11 ( ( -LRB- cord-340375-lhv83zac 112 12 i.e. i.e. FW cord-340375-lhv83zac 112 13 K K NNP cord-340375-lhv83zac 112 14 , , , cord-340375-lhv83zac 112 15 A A NNP cord-340375-lhv83zac 112 16 , , , cord-340375-lhv83zac 112 17 r r NN cord-340375-lhv83zac 112 18 , , , cord-340375-lhv83zac 112 19 scale scale NN cord-340375-lhv83zac 112 20 ) ) -RRB- cord-340375-lhv83zac 112 21 by by IN cord-340375-lhv83zac 112 22 a a DT cord-340375-lhv83zac 112 23 multivariate multivariate JJ cord-340375-lhv83zac 112 24 normal normal JJ cord-340375-lhv83zac 112 25 distribution distribution NN cord-340375-lhv83zac 112 26 centered center VBN cord-340375-lhv83zac 112 27 on on IN cord-340375-lhv83zac 112 28 the the DT cord-340375-lhv83zac 112 29 previous previous JJ cord-340375-lhv83zac 112 30 values value NNS cord-340375-lhv83zac 112 31 of of IN cord-340375-lhv83zac 112 32 the the DT cord-340375-lhv83zac 112 33 chain chain NN cord-340375-lhv83zac 112 34 with with IN cord-340375-lhv83zac 112 35 scaled scale VBN cord-340375-lhv83zac 112 36 variance variance NN cord-340375-lhv83zac 112 37 - - HYPH cord-340375-lhv83zac 112 38 covariance covariance NN cord-340375-lhv83zac 112 39 matrix matrix NN cord-340375-lhv83zac 112 40 estimated estimate VBN cord-340375-lhv83zac 112 41 from from IN cord-340375-lhv83zac 112 42 pilot pilot NN cord-340375-lhv83zac 112 43 chains chain NNS cord-340375-lhv83zac 112 44 ; ; : cord-340375-lhv83zac 112 45 the the DT cord-340375-lhv83zac 112 46 df df NNP cord-340375-lhv83zac 112 47 parameter parameter NN cord-340375-lhv83zac 112 48 was be VBD cord-340375-lhv83zac 112 49 proposed propose VBN cord-340375-lhv83zac 112 50 separately separately RB cord-340375-lhv83zac 112 51 based base VBN cord-340375-lhv83zac 112 52 on on IN cord-340375-lhv83zac 112 53 a a DT cord-340375-lhv83zac 112 54 lognormal lognormal JJ cord-340375-lhv83zac 112 55 distribution distribution NN cord-340375-lhv83zac 112 56 4 4 CD cord-340375-lhv83zac 112 57 which which WDT cord-340375-lhv83zac 112 58 was be VBD cord-340375-lhv83zac 112 59 transformed transform VBN cord-340375-lhv83zac 112 60 back back RB cord-340375-lhv83zac 112 61 to to IN cord-340375-lhv83zac 112 62 the the DT cord-340375-lhv83zac 112 63 original original JJ cord-340375-lhv83zac 112 64 scale scale NN cord-340375-lhv83zac 112 65 after after IN cord-340375-lhv83zac 112 66 the the DT cord-340375-lhv83zac 112 67 end end NN cord-340375-lhv83zac 112 68 of of IN cord-340375-lhv83zac 112 69 the the DT cord-340375-lhv83zac 112 70 simulation simulation NN cord-340375-lhv83zac 112 71 . . . cord-340375-lhv83zac 113 1 30 30 CD cord-340375-lhv83zac 113 2 million million CD cord-340375-lhv83zac 113 3 samples sample NNS cord-340375-lhv83zac 113 4 from from IN cord-340375-lhv83zac 113 5 the the DT cord-340375-lhv83zac 113 6 posterior posterior NN cord-340375-lhv83zac 113 7 were be VBD cord-340375-lhv83zac 113 8 obtained obtain VBN cord-340375-lhv83zac 113 9 with with IN cord-340375-lhv83zac 113 10 every every DT cord-340375-lhv83zac 113 11 300 300 CD cord-340375-lhv83zac 113 12 th th XX cord-340375-lhv83zac 113 13 step step NN cord-340375-lhv83zac 113 14 retained retain VBN cord-340375-lhv83zac 113 15 ( ( -LRB- cord-340375-lhv83zac 113 16 i.e. i.e. FW cord-340375-lhv83zac 113 17 we -PRON- PRP cord-340375-lhv83zac 113 18 had have VBD cord-340375-lhv83zac 113 19 a a DT cord-340375-lhv83zac 113 20 thinning thinning NN cord-340375-lhv83zac 113 21 parameter parameter NN cord-340375-lhv83zac 113 22 of of IN cord-340375-lhv83zac 113 23 300 300 CD cord-340375-lhv83zac 113 24 ) ) -RRB- cord-340375-lhv83zac 113 25 . . . cord-340375-lhv83zac 114 1 We -PRON- PRP cord-340375-lhv83zac 114 2 used use VBD cord-340375-lhv83zac 114 3 improper improper JJ cord-340375-lhv83zac 114 4 uniform uniform JJ cord-340375-lhv83zac 114 5 priors prior NNS cord-340375-lhv83zac 114 6 for for IN cord-340375-lhv83zac 114 7 all all DT cord-340375-lhv83zac 114 8 parameters parameter NNS cord-340375-lhv83zac 114 9 except except IN cord-340375-lhv83zac 114 10 for for IN cord-340375-lhv83zac 114 11 the the DT cord-340375-lhv83zac 114 12 df df NNP cord-340375-lhv83zac 114 13 parameter parameter NN cord-340375-lhv83zac 114 14 for for IN cord-340375-lhv83zac 114 15 which which WDT cord-340375-lhv83zac 114 16 a a DT cord-340375-lhv83zac 114 17 shifted shift VBN cord-340375-lhv83zac 114 18 exponential exponential JJ cord-340375-lhv83zac 114 19 with with IN cord-340375-lhv83zac 114 20 mean mean NN cord-340375-lhv83zac 114 21 equal equal JJ cord-340375-lhv83zac 114 22 to to IN cord-340375-lhv83zac 114 23 30 30 CD cord-340375-lhv83zac 114 24 was be VBD cord-340375-lhv83zac 114 25 specified specify VBN cord-340375-lhv83zac 114 26 as as IN cord-340375-lhv83zac 114 27 suggested suggest VBN cord-340375-lhv83zac 114 28 by by IN cord-340375-lhv83zac 114 29 Kruschke Kruschke NNP cord-340375-lhv83zac 114 30 ( ( -LRB- cord-340375-lhv83zac 114 31 2012 2012 CD cord-340375-lhv83zac 114 32 ) ) -RRB- cord-340375-lhv83zac 114 33 . . . cord-340375-lhv83zac 115 1 The the DT cord-340375-lhv83zac 115 2 results result NNS cord-340375-lhv83zac 115 3 indicated indicate VBD cord-340375-lhv83zac 115 4 good good JJ cord-340375-lhv83zac 115 5 convergence convergence NN cord-340375-lhv83zac 115 6 ( ( -LRB- cord-340375-lhv83zac 115 7 a a DT cord-340375-lhv83zac 115 8 traceplot traceplot NN cord-340375-lhv83zac 115 9 for for IN cord-340375-lhv83zac 115 10 the the DT cord-340375-lhv83zac 115 11 K K NNP cord-340375-lhv83zac 115 12 parameter parameter NN cord-340375-lhv83zac 115 13 is be VBZ cord-340375-lhv83zac 115 14 shown show VBN cord-340375-lhv83zac 115 15 in in IN cord-340375-lhv83zac 115 16 Fig Fig NNP cord-340375-lhv83zac 115 17 . . . cord-340375-lhv83zac 116 1 6 6 CD cord-340375-lhv83zac 117 1 below below RB cord-340375-lhv83zac 117 2 ; ; : cord-340375-lhv83zac 117 3 histograms histogram NNS cord-340375-lhv83zac 117 4 from from IN cord-340375-lhv83zac 117 5 the the DT cord-340375-lhv83zac 117 6 posterior posterior NN cord-340375-lhv83zac 117 7 for for IN cord-340375-lhv83zac 117 8 all all DT cord-340375-lhv83zac 117 9 parameters parameter NNS cord-340375-lhv83zac 117 10 are be VBP cord-340375-lhv83zac 117 11 shown show VBN cord-340375-lhv83zac 117 12 in in IN cord-340375-lhv83zac 117 13 Appendix Appendix NNP cord-340375-lhv83zac 117 14 A A NNP cord-340375-lhv83zac 117 15 ) ) -RRB- cord-340375-lhv83zac 117 16 . . . cord-340375-lhv83zac 118 1 4 4 LS cord-340375-lhv83zac 119 1 The the DT cord-340375-lhv83zac 119 2 lognormal lognormal JJ cord-340375-lhv83zac 119 3 distribution distribution NN cord-340375-lhv83zac 119 4 is be VBZ cord-340375-lhv83zac 119 5 not not RB cord-340375-lhv83zac 119 6 symmetric symmetric JJ cord-340375-lhv83zac 119 7 and and CC cord-340375-lhv83zac 119 8 hence hence RB cord-340375-lhv83zac 119 9 we -PRON- PRP cord-340375-lhv83zac 119 10 use use VBP cord-340375-lhv83zac 119 11 the the DT cord-340375-lhv83zac 119 12 actual actual JJ cord-340375-lhv83zac 119 13 Metropolis Metropolis NNP cord-340375-lhv83zac 119 14 - - HYPH cord-340375-lhv83zac 119 15 Hastings Hastings NNP cord-340375-lhv83zac 119 16 acceptance acceptance NN cord-340375-lhv83zac 119 17 probability probability NN cord-340375-lhv83zac 119 18 ( ( -LRB- cord-340375-lhv83zac 119 19 e.g. e.g. RB cord-340375-lhv83zac 119 20 Chib Chib NNP cord-340375-lhv83zac 119 21 & & CC cord-340375-lhv83zac 119 22 Greenberg Greenberg NNP cord-340375-lhv83zac 119 23 , , , cord-340375-lhv83zac 119 24 1995 1995 CD cord-340375-lhv83zac 119 25 ) ) -RRB- cord-340375-lhv83zac 119 26 during during IN cord-340375-lhv83zac 119 27 the the DT cord-340375-lhv83zac 119 28 step step NN cord-340375-lhv83zac 119 29 sampling sampling NN cord-340375-lhv83zac 119 30 from from IN cord-340375-lhv83zac 119 31 the the DT cord-340375-lhv83zac 119 32 df df NNP cord-340375-lhv83zac 119 33 posterior posterior NNP cord-340375-lhv83zac 119 34 . . . cord-340375-lhv83zac 120 1 Table table NN cord-340375-lhv83zac 120 2 5 5 CD cord-340375-lhv83zac 120 3 . . . cord-340375-lhv83zac 121 1 Means mean NNS cord-340375-lhv83zac 121 2 , , , cord-340375-lhv83zac 121 3 medians median NNS cord-340375-lhv83zac 121 4 , , , cord-340375-lhv83zac 121 5 standard standard JJ cord-340375-lhv83zac 121 6 deviations deviation NNS cord-340375-lhv83zac 121 7 ( ( -LRB- cord-340375-lhv83zac 121 8 SD SD NNP cord-340375-lhv83zac 121 9 ) ) -RRB- cord-340375-lhv83zac 121 10 , , , cord-340375-lhv83zac 121 11 and and CC cord-340375-lhv83zac 121 12 95 95 CD cord-340375-lhv83zac 121 13 % % NN cord-340375-lhv83zac 121 14 HDIs hdi NNS cord-340375-lhv83zac 121 15 for for IN cord-340375-lhv83zac 121 16 the the DT cord-340375-lhv83zac 121 17 parameters parameter NNS cord-340375-lhv83zac 121 18 of of IN cord-340375-lhv83zac 121 19 Eq Eq NNP cord-340375-lhv83zac 121 20 . . . cord-340375-lhv83zac 122 1 2 2 LS cord-340375-lhv83zac 122 2 obtained obtain VBN cord-340375-lhv83zac 122 3 from from IN cord-340375-lhv83zac 122 4 the the DT cord-340375-lhv83zac 122 5 posterior posterior NN cord-340375-lhv83zac 122 6 of of IN cord-340375-lhv83zac 122 7 our -PRON- PRP$ cord-340375-lhv83zac 122 8 last last JJ cord-340375-lhv83zac 122 9 model model NN cord-340375-lhv83zac 122 10 . . . cord-340375-lhv83zac 123 1 Consistently consistently RB cord-340375-lhv83zac 123 2 with with IN cord-340375-lhv83zac 123 3 our -PRON- PRP$ cord-340375-lhv83zac 123 4 expectations expectation NNS cord-340375-lhv83zac 123 5 the the DT cord-340375-lhv83zac 123 6 95 95 CD cord-340375-lhv83zac 123 7 % % NN cord-340375-lhv83zac 123 8 HDI hdi NN cord-340375-lhv83zac 123 9 for for IN cord-340375-lhv83zac 123 10 the the DT cord-340375-lhv83zac 123 11 df df NNP cord-340375-lhv83zac 123 12 parameter parameter NN cord-340375-lhv83zac 123 13 suggests suggest VBZ cord-340375-lhv83zac 123 14 a a DT cord-340375-lhv83zac 123 15 noticeable noticeable JJ cord-340375-lhv83zac 123 16 deviation deviation NN cord-340375-lhv83zac 123 17 from from IN cord-340375-lhv83zac 123 18 normality normality NN cord-340375-lhv83zac 123 19 . . . cord-340375-lhv83zac 124 1 Fig Fig NNP cord-340375-lhv83zac 124 2 . . NNP cord-340375-lhv83zac 124 3 7 7 CD cord-340375-lhv83zac 124 4 shows show VBZ cord-340375-lhv83zac 124 5 the the DT cord-340375-lhv83zac 124 6 predicted predict VBN cord-340375-lhv83zac 124 7 trend trend NN cord-340375-lhv83zac 124 8 based base VBN cord-340375-lhv83zac 124 9 on on IN cord-340375-lhv83zac 124 10 the the DT cord-340375-lhv83zac 124 11 EAP EAP NNP cord-340375-lhv83zac 124 12 estimates estimate NNS cord-340375-lhv83zac 124 13 shown show VBN cord-340375-lhv83zac 124 14 in in IN cord-340375-lhv83zac 124 15 Table Table NNP cord-340375-lhv83zac 124 16 5 5 CD cord-340375-lhv83zac 124 17 . . . cord-340375-lhv83zac 125 1 Finally finally RB cord-340375-lhv83zac 125 2 , , , cord-340375-lhv83zac 125 3 Table Table NNP cord-340375-lhv83zac 125 4 6 6 CD cord-340375-lhv83zac 125 5 specifies specify VBZ cord-340375-lhv83zac 125 6 the the DT cord-340375-lhv83zac 125 7 predictive predictive JJ cord-340375-lhv83zac 125 8 distributions distribution NNS cord-340375-lhv83zac 125 9 for for IN cord-340375-lhv83zac 125 10 the the DT cord-340375-lhv83zac 125 11 next next JJ cord-340375-lhv83zac 125 12 7 7 CD cord-340375-lhv83zac 125 13 days day NNS cord-340375-lhv83zac 125 14 and and CC cord-340375-lhv83zac 125 15 for for IN cord-340375-lhv83zac 125 16 the the DT cord-340375-lhv83zac 125 17 estimate estimate NN cord-340375-lhv83zac 125 18 for for IN cord-340375-lhv83zac 125 19 the the DT cord-340375-lhv83zac 125 20 final final JJ cord-340375-lhv83zac 125 21 cumulative cumulative JJ cord-340375-lhv83zac 125 22 number number NN cord-340375-lhv83zac 125 23 of of IN cord-340375-lhv83zac 125 24 infectees infectee NNS cord-340375-lhv83zac 125 25 . . . cord-340375-lhv83zac 126 1 We -PRON- PRP cord-340375-lhv83zac 126 2 see see VBP cord-340375-lhv83zac 126 3 that that IN cord-340375-lhv83zac 126 4 this this DT cord-340375-lhv83zac 126 5 model model NN cord-340375-lhv83zac 126 6 accurately accurately RB cord-340375-lhv83zac 126 7 predicts predict VBZ cord-340375-lhv83zac 126 8 at at IN cord-340375-lhv83zac 126 9 least least RBS cord-340375-lhv83zac 126 10 three three CD cord-340375-lhv83zac 126 11 future future JJ cord-340375-lhv83zac 126 12 data data NN cord-340375-lhv83zac 126 13 points point NNS cord-340375-lhv83zac 126 14 . . . cord-340375-lhv83zac 127 1 In in IN cord-340375-lhv83zac 127 2 the the DT cord-340375-lhv83zac 127 3 next next JJ cord-340375-lhv83zac 127 4 several several JJ cord-340375-lhv83zac 127 5 days day NNS cord-340375-lhv83zac 127 6 we -PRON- PRP cord-340375-lhv83zac 127 7 should should MD cord-340375-lhv83zac 127 8 be be VB cord-340375-lhv83zac 127 9 able able JJ cord-340375-lhv83zac 127 10 to to TO cord-340375-lhv83zac 127 11 observe observe VB cord-340375-lhv83zac 127 12 how how WRB cord-340375-lhv83zac 127 13 the the DT cord-340375-lhv83zac 127 14 model model NN cord-340375-lhv83zac 127 15 deals deal VBZ cord-340375-lhv83zac 127 16 with with IN cord-340375-lhv83zac 127 17 data datum NNS cord-340375-lhv83zac 127 18 points point NNS cord-340375-lhv83zac 127 19 further far RBR cord-340375-lhv83zac 127 20 away away RB cord-340375-lhv83zac 127 21 in in IN cord-340375-lhv83zac 127 22 time time NN cord-340375-lhv83zac 127 23 . . . cord-340375-lhv83zac 127 24 . . . cord-340375-lhv83zac 128 1 CC CC NNP cord-340375-lhv83zac 128 2 - - HYPH cord-340375-lhv83zac 128 3 BY BY NNP cord-340375-lhv83zac 128 4 - - HYPH cord-340375-lhv83zac 128 5 NC NC NNP cord-340375-lhv83zac 128 6 - - HYPH cord-340375-lhv83zac 128 7 ND ND NNP cord-340375-lhv83zac 128 8 4.0 4.0 CD cord-340375-lhv83zac 128 9 International international JJ cord-340375-lhv83zac 128 10 license license NN cord-340375-lhv83zac 129 1 It -PRON- PRP cord-340375-lhv83zac 129 2 is be VBZ cord-340375-lhv83zac 129 3 made make VBN cord-340375-lhv83zac 129 4 available available JJ cord-340375-lhv83zac 129 5 under under IN cord-340375-lhv83zac 129 6 a a DT cord-340375-lhv83zac 130 1 is be VBZ cord-340375-lhv83zac 130 2 the the DT cord-340375-lhv83zac 130 3 author author NN cord-340375-lhv83zac 130 4 / / SYM cord-340375-lhv83zac 130 5 funder funder NN cord-340375-lhv83zac 130 6 , , , cord-340375-lhv83zac 130 7 who who WP cord-340375-lhv83zac 130 8 has have VBZ cord-340375-lhv83zac 130 9 granted grant VBN cord-340375-lhv83zac 130 10 medRxiv medRxiv NNS cord-340375-lhv83zac 130 11 a a DT cord-340375-lhv83zac 130 12 license license NN cord-340375-lhv83zac 130 13 to to TO cord-340375-lhv83zac 130 14 display display VB cord-340375-lhv83zac 130 15 the the DT cord-340375-lhv83zac 130 16 preprint preprint NN cord-340375-lhv83zac 130 17 in in IN cord-340375-lhv83zac 130 18 perpetuity perpetuity NN cord-340375-lhv83zac 130 19 . . . cord-340375-lhv83zac 131 1 The the DT cord-340375-lhv83zac 131 2 copyright copyright NN cord-340375-lhv83zac 131 3 holder holder NN cord-340375-lhv83zac 131 4 for for IN cord-340375-lhv83zac 131 5 this this DT cord-340375-lhv83zac 131 6 preprint preprint NN cord-340375-lhv83zac 131 7 . . . cord-340375-lhv83zac 132 1 https://doi.org/10.1101/2020.04.05.20054577 https://doi.org/10.1101/2020.04.05.20054577 CD cord-340375-lhv83zac 132 2 doi doi NN cord-340375-lhv83zac 132 3 : : : cord-340375-lhv83zac 133 1 medRxiv medRxiv NNP cord-340375-lhv83zac 133 2 preprint preprint NNP cord-340375-lhv83zac 134 1 As as IN cord-340375-lhv83zac 134 2 can can MD cord-340375-lhv83zac 134 3 be be VB cord-340375-lhv83zac 134 4 seen see VBN cord-340375-lhv83zac 134 5 in in IN cord-340375-lhv83zac 135 1 Appendix Appendix NNP cord-340375-lhv83zac 135 2 A a DT cord-340375-lhv83zac 136 1 the the DT cord-340375-lhv83zac 136 2 posteriors posterior NNS cord-340375-lhv83zac 136 3 for for IN cord-340375-lhv83zac 136 4 the the DT cord-340375-lhv83zac 136 5 different different JJ cord-340375-lhv83zac 136 6 parameters parameter NNS cord-340375-lhv83zac 136 7 no no RB cord-340375-lhv83zac 136 8 longer longer RB cord-340375-lhv83zac 136 9 resemble resemble VB cord-340375-lhv83zac 136 10 parametric parametric JJ cord-340375-lhv83zac 136 11 distributions distribution NNS cord-340375-lhv83zac 136 12 ( ( -LRB- cord-340375-lhv83zac 136 13 for for IN cord-340375-lhv83zac 136 14 the the DT cord-340375-lhv83zac 136 15 previous previous JJ cord-340375-lhv83zac 136 16 two two CD cord-340375-lhv83zac 136 17 models model NNS cord-340375-lhv83zac 136 18 the the DT cord-340375-lhv83zac 136 19 posteriors posterior NNS cord-340375-lhv83zac 136 20 for for IN cord-340375-lhv83zac 136 21 the the DT cord-340375-lhv83zac 136 22 K K NNP cord-340375-lhv83zac 136 23 , , , cord-340375-lhv83zac 136 24 A A NNP cord-340375-lhv83zac 136 25 , , , cord-340375-lhv83zac 136 26 and and CC cord-340375-lhv83zac 136 27 r r LS cord-340375-lhv83zac 136 28 definitely definitely RB cord-340375-lhv83zac 136 29 resemble resemble VB cord-340375-lhv83zac 136 30 normal normal JJ cord-340375-lhv83zac 136 31 / / SYM cord-340375-lhv83zac 136 32 t t NN cord-340375-lhv83zac 136 33 - - HYPH cord-340375-lhv83zac 136 34 distributions distribution NNS cord-340375-lhv83zac 136 35 while while IN cord-340375-lhv83zac 136 36 the the DT cord-340375-lhv83zac 136 37 σ σ NNP cord-340375-lhv83zac 136 38 parameter parameter NN cord-340375-lhv83zac 136 39 is be VBZ cord-340375-lhv83zac 136 40 pronouncedly pronouncedly RB cord-340375-lhv83zac 136 41 positively positively RB cord-340375-lhv83zac 136 42 skewed skewed JJ cord-340375-lhv83zac 136 43 and and CC cord-340375-lhv83zac 136 44 thus thus RB cord-340375-lhv83zac 136 45 resembles resemble VBZ cord-340375-lhv83zac 136 46 a a DT cord-340375-lhv83zac 136 47 gamma gamma NN cord-340375-lhv83zac 136 48 distribution distribution NN cord-340375-lhv83zac 136 49 ) ) -RRB- cord-340375-lhv83zac 136 50 . . . cord-340375-lhv83zac 137 1 Nevertheless nevertheless RB cord-340375-lhv83zac 137 2 this this DT cord-340375-lhv83zac 137 3 model model NN cord-340375-lhv83zac 137 4 appears appear VBZ cord-340375-lhv83zac 137 5 to to TO cord-340375-lhv83zac 137 6 be be VB cord-340375-lhv83zac 137 7 best well RBS cord-340375-lhv83zac 137 8 suited suit VBN cord-340375-lhv83zac 137 9 for for IN cord-340375-lhv83zac 137 10 the the DT cord-340375-lhv83zac 137 11 modeled model VBN cord-340375-lhv83zac 137 12 phenomenon phenomenon NN cord-340375-lhv83zac 137 13 . . . cord-340375-lhv83zac 138 1 is be VBZ cord-340375-lhv83zac 138 2 the the DT cord-340375-lhv83zac 138 3 author author NN cord-340375-lhv83zac 138 4 / / SYM cord-340375-lhv83zac 138 5 funder funder NN cord-340375-lhv83zac 138 6 , , , cord-340375-lhv83zac 138 7 who who WP cord-340375-lhv83zac 138 8 has have VBZ cord-340375-lhv83zac 138 9 granted grant VBN cord-340375-lhv83zac 138 10 medRxiv medRxiv NNS cord-340375-lhv83zac 138 11 a a DT cord-340375-lhv83zac 138 12 license license NN cord-340375-lhv83zac 138 13 to to TO cord-340375-lhv83zac 138 14 display display VB cord-340375-lhv83zac 138 15 the the DT cord-340375-lhv83zac 138 16 preprint preprint NN cord-340375-lhv83zac 138 17 in in IN cord-340375-lhv83zac 138 18 perpetuity perpetuity NN cord-340375-lhv83zac 138 19 . . . cord-340375-lhv83zac 139 1 The the DT cord-340375-lhv83zac 139 2 copyright copyright NN cord-340375-lhv83zac 139 3 holder holder NN cord-340375-lhv83zac 139 4 for for IN cord-340375-lhv83zac 139 5 this this DT cord-340375-lhv83zac 139 6 preprint preprint NN cord-340375-lhv83zac 139 7 . . . cord-340375-lhv83zac 140 1 https https NNP cord-340375-lhv83zac 140 2 : : : cord-340375-lhv83zac 141 1 //doi.org/10.1101 //doi.org/10.1101 NNP cord-340375-lhv83zac 141 2 //doi.org/10 //doi.org/10 XX cord-340375-lhv83zac 141 3 . . . cord-340375-lhv83zac 142 1 /2020 /2020 . cord-340375-lhv83zac 143 1 5 5 LS cord-340375-lhv83zac 143 2 . . . cord-340375-lhv83zac 144 1 Discussion discussion NN cord-340375-lhv83zac 144 2 . . . cord-340375-lhv83zac 145 1 It -PRON- PRP cord-340375-lhv83zac 145 2 appears appear VBZ cord-340375-lhv83zac 145 3 that that IN cord-340375-lhv83zac 145 4 a a DT cord-340375-lhv83zac 145 5 logistic logistic JJ cord-340375-lhv83zac 145 6 growth growth NN cord-340375-lhv83zac 145 7 model model NN cord-340375-lhv83zac 145 8 with with IN cord-340375-lhv83zac 145 9 a a DT cord-340375-lhv83zac 145 10 weighted weighted JJ cord-340375-lhv83zac 145 11 likelihood likelihood NN cord-340375-lhv83zac 145 12 function function NN cord-340375-lhv83zac 145 13 and and CC cord-340375-lhv83zac 145 14 a a DT cord-340375-lhv83zac 145 15 t t NN cord-340375-lhv83zac 145 16 - - HYPH cord-340375-lhv83zac 145 17 distribution distribution NN cord-340375-lhv83zac 145 18 imposed impose VBN cord-340375-lhv83zac 145 19 on on IN cord-340375-lhv83zac 145 20 the the DT cord-340375-lhv83zac 145 21 error error NN cord-340375-lhv83zac 145 22 structure structure NN cord-340375-lhv83zac 145 23 is be VBZ cord-340375-lhv83zac 145 24 able able JJ cord-340375-lhv83zac 145 25 to to TO cord-340375-lhv83zac 145 26 make make VB cord-340375-lhv83zac 145 27 accurate accurate JJ cord-340375-lhv83zac 145 28 short short JJ cord-340375-lhv83zac 145 29 term term NN cord-340375-lhv83zac 145 30 predictions prediction NNS cord-340375-lhv83zac 145 31 of of IN cord-340375-lhv83zac 145 32 the the DT cord-340375-lhv83zac 145 33 spread spread NN cord-340375-lhv83zac 145 34 of of IN cord-340375-lhv83zac 145 35 a a DT cord-340375-lhv83zac 145 36 disease disease NN cord-340375-lhv83zac 145 37 . . . cord-340375-lhv83zac 146 1 The the DT cord-340375-lhv83zac 146 2 Bayesian bayesian JJ cord-340375-lhv83zac 146 3 estimation estimation NN cord-340375-lhv83zac 146 4 gives give VBZ cord-340375-lhv83zac 146 5 more more RBR cord-340375-lhv83zac 146 6 accurate accurate JJ cord-340375-lhv83zac 146 7 estimates estimate NNS cord-340375-lhv83zac 146 8 than than IN cord-340375-lhv83zac 146 9 traditional traditional JJ cord-340375-lhv83zac 146 10 Least Least JJS cord-340375-lhv83zac 146 11 Squares Squares NNPS cord-340375-lhv83zac 146 12 and and CC cord-340375-lhv83zac 146 13 Maximum Maximum NNP cord-340375-lhv83zac 146 14 Likelihood Likelihood NNP cord-340375-lhv83zac 146 15 approaches approach VBZ cord-340375-lhv83zac 146 16 with with IN cord-340375-lhv83zac 146 17 more more RBR cord-340375-lhv83zac 146 18 accurate accurate JJ cord-340375-lhv83zac 146 19 interval interval NN cord-340375-lhv83zac 146 20 estimates estimate NNS cord-340375-lhv83zac 146 21 . . . cord-340375-lhv83zac 147 1 Moreover moreover RB cord-340375-lhv83zac 147 2 , , , cord-340375-lhv83zac 147 3 the the DT cord-340375-lhv83zac 147 4 Bayesian bayesian JJ cord-340375-lhv83zac 147 5 posteriors posterior NNS cord-340375-lhv83zac 147 6 ( ( -LRB- cord-340375-lhv83zac 147 7 including include VBG cord-340375-lhv83zac 147 8 the the DT cord-340375-lhv83zac 147 9 predictive predictive JJ cord-340375-lhv83zac 147 10 distributions distribution NNS cord-340375-lhv83zac 147 11 ) ) -RRB- cord-340375-lhv83zac 147 12 have have VBP cord-340375-lhv83zac 147 13 a a DT cord-340375-lhv83zac 147 14 straightforward straightforward JJ cord-340375-lhv83zac 147 15 probabilistic probabilistic JJ cord-340375-lhv83zac 147 16 interpretation interpretation NN cord-340375-lhv83zac 147 17 which which WDT cord-340375-lhv83zac 147 18 can can MD cord-340375-lhv83zac 147 19 not not RB cord-340375-lhv83zac 147 20 be be VB cord-340375-lhv83zac 147 21 said say VBN cord-340375-lhv83zac 147 22 about about IN cord-340375-lhv83zac 147 23 traditional traditional JJ cord-340375-lhv83zac 147 24 frequentist frequentist JJ cord-340375-lhv83zac 147 25 Confidence confidence NN cord-340375-lhv83zac 147 26 Intervals Intervals NNPS cord-340375-lhv83zac 147 27 . . . cord-340375-lhv83zac 148 1 As as IN cord-340375-lhv83zac 148 2 a a DT cord-340375-lhv83zac 148 3 rule rule NN cord-340375-lhv83zac 148 4 , , , cord-340375-lhv83zac 148 5 the the DT cord-340375-lhv83zac 148 6 posterior posterior JJ cord-340375-lhv83zac 148 7 distributions distribution NNS cord-340375-lhv83zac 148 8 show show VBP cord-340375-lhv83zac 148 9 high high JJ cord-340375-lhv83zac 148 10 correlations correlation NNS cord-340375-lhv83zac 148 11 between between IN cord-340375-lhv83zac 148 12 the the DT cord-340375-lhv83zac 148 13 parameters parameter NNS cord-340375-lhv83zac 148 14 which which WDT cord-340375-lhv83zac 148 15 makes make VBZ cord-340375-lhv83zac 148 16 algorithms algorithm NNS cord-340375-lhv83zac 148 17 like like IN cord-340375-lhv83zac 148 18 blockwise blockwise NNP cord-340375-lhv83zac 148 19 Metropolis Metropolis NNP cord-340375-lhv83zac 148 20 - - HYPH cord-340375-lhv83zac 148 21 Hastings Hastings NNP cord-340375-lhv83zac 148 22 more more RBR cord-340375-lhv83zac 148 23 effective effective JJ cord-340375-lhv83zac 148 24 in in IN cord-340375-lhv83zac 148 25 general general JJ cord-340375-lhv83zac 148 26 than than IN cord-340375-lhv83zac 148 27 algorithms algorithm NNS cord-340375-lhv83zac 148 28 which which WDT cord-340375-lhv83zac 148 29 explore explore VBP cord-340375-lhv83zac 148 30 a a DT cord-340375-lhv83zac 148 31 single single JJ cord-340375-lhv83zac 148 32 posterior posterior JJ cord-340375-lhv83zac 148 33 distribution distribution NN cord-340375-lhv83zac 148 34 at at IN cord-340375-lhv83zac 148 35 a a DT cord-340375-lhv83zac 148 36 time time NN cord-340375-lhv83zac 148 37 such such JJ cord-340375-lhv83zac 148 38 as as IN cord-340375-lhv83zac 148 39 the the DT cord-340375-lhv83zac 148 40 Gibbs Gibbs NNP cord-340375-lhv83zac 148 41 Sampler Sampler NNP cord-340375-lhv83zac 148 42 and and CC cord-340375-lhv83zac 148 43 the the DT cord-340375-lhv83zac 148 44 componentwise componentwise NN cord-340375-lhv83zac 148 45 Metropolis Metropolis NNP cord-340375-lhv83zac 148 46 - - HYPH cord-340375-lhv83zac 148 47 Hastings Hastings NNP cord-340375-lhv83zac 148 48 . . . cord-340375-lhv83zac 149 1 The the DT cord-340375-lhv83zac 149 2 fact fact NN cord-340375-lhv83zac 149 3 that that IN cord-340375-lhv83zac 149 4 some some DT cord-340375-lhv83zac 149 5 posteriors posterior NNS cord-340375-lhv83zac 149 6 lack lack VBP cord-340375-lhv83zac 149 7 closed closed JJ cord-340375-lhv83zac 149 8 - - HYPH cord-340375-lhv83zac 149 9 form form NN cord-340375-lhv83zac 149 10 solutions solution NNS cord-340375-lhv83zac 149 11 is be VBZ cord-340375-lhv83zac 149 12 another another DT cord-340375-lhv83zac 149 13 impediment impediment NN cord-340375-lhv83zac 149 14 when when WRB cord-340375-lhv83zac 149 15 it -PRON- PRP cord-340375-lhv83zac 149 16 comes come VBZ cord-340375-lhv83zac 149 17 to to IN cord-340375-lhv83zac 149 18 the the DT cord-340375-lhv83zac 149 19 Gibbs Gibbs NNP cord-340375-lhv83zac 149 20 Sampler Sampler NNP cord-340375-lhv83zac 149 21 but but CC cord-340375-lhv83zac 149 22 not not RB cord-340375-lhv83zac 149 23 necessarily necessarily RB cord-340375-lhv83zac 149 24 for for IN cord-340375-lhv83zac 149 25 the the DT cord-340375-lhv83zac 149 26 use use NN cord-340375-lhv83zac 149 27 of of IN cord-340375-lhv83zac 149 28 the the DT cord-340375-lhv83zac 149 29 componentwise componentwise NN cord-340375-lhv83zac 149 30 Metropolis Metropolis NNP cord-340375-lhv83zac 149 31 - - HYPH cord-340375-lhv83zac 149 32 Hastings Hastings NNP cord-340375-lhv83zac 149 33 as as IN cord-340375-lhv83zac 149 34 demonstrated demonstrate VBN cord-340375-lhv83zac 149 35 in in IN cord-340375-lhv83zac 149 36 Section section NN cord-340375-lhv83zac 149 37 3 3 CD cord-340375-lhv83zac 149 38 . . . cord-340375-lhv83zac 150 1 The the DT cord-340375-lhv83zac 150 2 weighing weighing NN cord-340375-lhv83zac 150 3 scheme scheme NN cord-340375-lhv83zac 150 4 employed employ VBN cord-340375-lhv83zac 150 5 here here RB cord-340375-lhv83zac 150 6 proves prove VBZ cord-340375-lhv83zac 150 7 beneficial beneficial JJ cord-340375-lhv83zac 150 8 over over IN cord-340375-lhv83zac 150 9 modeling model VBG cord-340375-lhv83zac 150 10 the the DT cord-340375-lhv83zac 150 11 raw raw JJ cord-340375-lhv83zac 150 12 data datum NNS cord-340375-lhv83zac 150 13 by by IN cord-340375-lhv83zac 150 14 forcing force VBG cord-340375-lhv83zac 150 15 the the DT cord-340375-lhv83zac 150 16 model model NN cord-340375-lhv83zac 150 17 to to TO cord-340375-lhv83zac 150 18 pay pay VB cord-340375-lhv83zac 150 19 more more JJR cord-340375-lhv83zac 150 20 attention attention NN cord-340375-lhv83zac 150 21 to to IN cord-340375-lhv83zac 150 22 more more JJR cord-340375-lhv83zac 150 23 recent recent JJ cord-340375-lhv83zac 150 24 observations observation NNS cord-340375-lhv83zac 150 25 . . . cord-340375-lhv83zac 151 1 Other other JJ cord-340375-lhv83zac 151 2 weighing weighing NN cord-340375-lhv83zac 151 3 schemes scheme NNS cord-340375-lhv83zac 151 4 are be VBP cord-340375-lhv83zac 151 5 certainly certainly RB cord-340375-lhv83zac 151 6 possible possible JJ cord-340375-lhv83zac 151 7 and and CC cord-340375-lhv83zac 151 8 investigating investigate VBG cord-340375-lhv83zac 151 9 the the DT cord-340375-lhv83zac 151 10 properties property NNS cord-340375-lhv83zac 151 11 of of IN cord-340375-lhv83zac 151 12 different different JJ cord-340375-lhv83zac 151 13 approaches approach NNS cord-340375-lhv83zac 151 14 seems seem VBZ cord-340375-lhv83zac 151 15 a a DT cord-340375-lhv83zac 151 16 potentially potentially RB cord-340375-lhv83zac 151 17 fruitful fruitful JJ cord-340375-lhv83zac 151 18 future future JJ cord-340375-lhv83zac 151 19 enterprise enterprise NN cord-340375-lhv83zac 151 20 . . . cord-340375-lhv83zac 152 1 As as IN cord-340375-lhv83zac 152 2 a a DT cord-340375-lhv83zac 152 3 whole whole NN cord-340375-lhv83zac 152 4 it -PRON- PRP cord-340375-lhv83zac 152 5 appears appear VBZ cord-340375-lhv83zac 152 6 that that IN cord-340375-lhv83zac 152 7 the the DT cord-340375-lhv83zac 152 8 combination combination NN cord-340375-lhv83zac 152 9 of of IN cord-340375-lhv83zac 152 10 Bayesian Bayesian NNP cord-340375-lhv83zac 152 11 Estimation Estimation NNP cord-340375-lhv83zac 152 12 , , , cord-340375-lhv83zac 152 13 differentially differentially RB cord-340375-lhv83zac 152 14 weighing weigh VBG cord-340375-lhv83zac 152 15 the the DT cord-340375-lhv83zac 152 16 observations observation NNS cord-340375-lhv83zac 152 17 , , , cord-340375-lhv83zac 152 18 and and CC cord-340375-lhv83zac 152 19 employing employ VBG cord-340375-lhv83zac 152 20 a a DT cord-340375-lhv83zac 152 21 more more RBR cord-340375-lhv83zac 152 22 robust robust JJ cord-340375-lhv83zac 152 23 approach approach NN cord-340375-lhv83zac 152 24 towards towards IN cord-340375-lhv83zac 152 25 modeling model VBG cord-340375-lhv83zac 152 26 the the DT cord-340375-lhv83zac 152 27 errors error NNS cord-340375-lhv83zac 152 28 ( ( -LRB- cord-340375-lhv83zac 152 29 i.e. i.e. FW cord-340375-lhv83zac 152 30 assuming assume VBG cord-340375-lhv83zac 152 31 a a DT cord-340375-lhv83zac 152 32 t t NN cord-340375-lhv83zac 152 33 - - HYPH cord-340375-lhv83zac 152 34 distribution distribution NN cord-340375-lhv83zac 152 35 with with IN cord-340375-lhv83zac 152 36 scale scale NN cord-340375-lhv83zac 152 37 and and CC cord-340375-lhv83zac 152 38 df df NN cord-340375-lhv83zac 152 39 parameters parameter NNS cord-340375-lhv83zac 152 40 estimated estimate VBN cord-340375-lhv83zac 152 41 from from IN cord-340375-lhv83zac 152 42 the the DT cord-340375-lhv83zac 152 43 data datum NNS cord-340375-lhv83zac 152 44 ) ) -RRB- cord-340375-lhv83zac 152 45 results result VBZ cord-340375-lhv83zac 152 46 in in IN cord-340375-lhv83zac 152 47 more more RBR cord-340375-lhv83zac 152 48 reliable reliable JJ cord-340375-lhv83zac 152 49 HDIs hdi NNS cord-340375-lhv83zac 152 50 and and CC cord-340375-lhv83zac 152 51 prediction prediction NN cord-340375-lhv83zac 152 52 intervals interval NNS cord-340375-lhv83zac 152 53 than than IN cord-340375-lhv83zac 152 54 more more JJR cord-340375-lhv83zac 152 55 traditional traditional JJ cord-340375-lhv83zac 152 56 approaches approach NNS cord-340375-lhv83zac 152 57 . . . cord-340375-lhv83zac 153 1 Far far RB cord-340375-lhv83zac 153 2 from from IN cord-340375-lhv83zac 153 3 being be VBG cord-340375-lhv83zac 153 4 perfect perfect JJ cord-340375-lhv83zac 153 5 , , , cord-340375-lhv83zac 153 6 the the DT cord-340375-lhv83zac 153 7 proposed propose VBN cord-340375-lhv83zac 153 8 model model NN cord-340375-lhv83zac 153 9 appears appear VBZ cord-340375-lhv83zac 153 10 to to TO cord-340375-lhv83zac 153 11 be be VB cord-340375-lhv83zac 153 12 somewhat somewhat RB cord-340375-lhv83zac 153 13 useful useful JJ cord-340375-lhv83zac 153 14 . . . cord-340375-lhv83zac 154 1 Of of RB cord-340375-lhv83zac 154 2 course course RB cord-340375-lhv83zac 154 3 , , , cord-340375-lhv83zac 154 4 such such PDT cord-340375-lhv83zac 154 5 a a DT cord-340375-lhv83zac 154 6 model model NN cord-340375-lhv83zac 154 7 can can MD cord-340375-lhv83zac 154 8 be be VB cord-340375-lhv83zac 154 9 continuously continuously RB cord-340375-lhv83zac 154 10 augmented augment VBN cord-340375-lhv83zac 154 11 by by IN cord-340375-lhv83zac 154 12 including include VBG cord-340375-lhv83zac 154 13 new new JJ cord-340375-lhv83zac 154 14 data datum NNS cord-340375-lhv83zac 154 15 points point NNS cord-340375-lhv83zac 154 16 and and CC cord-340375-lhv83zac 154 17 applying apply VBG cord-340375-lhv83zac 154 18 the the DT cord-340375-lhv83zac 154 19 same same JJ cord-340375-lhv83zac 154 20 or or CC cord-340375-lhv83zac 154 21 similar similar JJ cord-340375-lhv83zac 154 22 weighing weighing NN cord-340375-lhv83zac 154 23 procedure procedure NN cord-340375-lhv83zac 154 24 . . . cord-340375-lhv83zac 155 1 Presumably presumably RB cord-340375-lhv83zac 155 2 , , , cord-340375-lhv83zac 155 3 continuously continuously RB cord-340375-lhv83zac 155 4 adjusting adjust VBG cord-340375-lhv83zac 155 5 the the DT cord-340375-lhv83zac 155 6 model model NN cord-340375-lhv83zac 155 7 by by IN cord-340375-lhv83zac 155 8 adding add VBG cord-340375-lhv83zac 155 9 new new JJ cord-340375-lhv83zac 155 10 observations observation NNS cord-340375-lhv83zac 155 11 as as IN cord-340375-lhv83zac 155 12 they -PRON- PRP cord-340375-lhv83zac 155 13 become become VBP cord-340375-lhv83zac 155 14 available available JJ cord-340375-lhv83zac 155 15 would would MD cord-340375-lhv83zac 155 16 improve improve VB cord-340375-lhv83zac 155 17 its -PRON- PRP$ cord-340375-lhv83zac 155 18 accuracy accuracy NN cord-340375-lhv83zac 155 19 . . . cord-340375-lhv83zac 156 1 That that DT cord-340375-lhv83zac 156 2 being be VBG cord-340375-lhv83zac 156 3 said say VBN cord-340375-lhv83zac 156 4 , , , cord-340375-lhv83zac 156 5 our -PRON- PRP$ cord-340375-lhv83zac 156 6 simulations simulation NNS cord-340375-lhv83zac 156 7 suggest suggest VBP cord-340375-lhv83zac 156 8 that that IN cord-340375-lhv83zac 156 9 we -PRON- PRP cord-340375-lhv83zac 156 10 should should MD cord-340375-lhv83zac 156 11 be be VB cord-340375-lhv83zac 156 12 somewhat somewhat RB cord-340375-lhv83zac 156 13 skeptical skeptical JJ cord-340375-lhv83zac 156 14 towards towards IN cord-340375-lhv83zac 156 15 logistic logistic JJ cord-340375-lhv83zac 156 16 growth growth NN cord-340375-lhv83zac 156 17 models model NNS cord-340375-lhv83zac 156 18 applied apply VBD cord-340375-lhv83zac 156 19 to to IN cord-340375-lhv83zac 156 20 the the DT cord-340375-lhv83zac 156 21 raw raw JJ cord-340375-lhv83zac 156 22 data datum NNS cord-340375-lhv83zac 156 23 describing describe VBG cord-340375-lhv83zac 156 24 an an DT cord-340375-lhv83zac 156 25 outbreak outbreak NN cord-340375-lhv83zac 156 26 , , , cord-340375-lhv83zac 156 27 especially especially RB cord-340375-lhv83zac 156 28 when when WRB cord-340375-lhv83zac 156 29 the the DT cord-340375-lhv83zac 156 30 number number NN cord-340375-lhv83zac 156 31 of of IN cord-340375-lhv83zac 156 32 available available JJ cord-340375-lhv83zac 156 33 data data NN cord-340375-lhv83zac 156 34 points point NNS cord-340375-lhv83zac 156 35 is be VBZ cord-340375-lhv83zac 156 36 relatively relatively RB cord-340375-lhv83zac 156 37 small small JJ cord-340375-lhv83zac 156 38 and and CC cord-340375-lhv83zac 156 39 the the DT cord-340375-lhv83zac 156 40 upper upper JJ cord-340375-lhv83zac 156 41 asymptote asymptote NN cord-340375-lhv83zac 156 42 appears appear VBZ cord-340375-lhv83zac 156 43 not not RB cord-340375-lhv83zac 156 44 to to TO cord-340375-lhv83zac 156 45 have have VB cord-340375-lhv83zac 156 46 been be VBN cord-340375-lhv83zac 156 47 reached reach VBN cord-340375-lhv83zac 156 48 yet yet RB cord-340375-lhv83zac 156 49 . . . cord-340375-lhv83zac 156 50 . . . cord-340375-lhv83zac 157 1 CC CC NNP cord-340375-lhv83zac 157 2 - - HYPH cord-340375-lhv83zac 157 3 BY BY NNP cord-340375-lhv83zac 157 4 - - HYPH cord-340375-lhv83zac 157 5 NC NC NNP cord-340375-lhv83zac 157 6 - - HYPH cord-340375-lhv83zac 157 7 ND ND NNP cord-340375-lhv83zac 157 8 4.0 4.0 CD cord-340375-lhv83zac 157 9 International international JJ cord-340375-lhv83zac 157 10 license license NN cord-340375-lhv83zac 158 1 It -PRON- PRP cord-340375-lhv83zac 158 2 is be VBZ cord-340375-lhv83zac 158 3 made make VBN cord-340375-lhv83zac 158 4 available available JJ cord-340375-lhv83zac 158 5 under under IN cord-340375-lhv83zac 158 6 a a DT cord-340375-lhv83zac 159 1 is be VBZ cord-340375-lhv83zac 159 2 the the DT cord-340375-lhv83zac 159 3 author author NN cord-340375-lhv83zac 159 4 / / SYM cord-340375-lhv83zac 159 5 funder funder NN cord-340375-lhv83zac 159 6 , , , cord-340375-lhv83zac 159 7 who who WP cord-340375-lhv83zac 159 8 has have VBZ cord-340375-lhv83zac 159 9 granted grant VBN cord-340375-lhv83zac 159 10 medRxiv medRxiv NNS cord-340375-lhv83zac 159 11 a a DT cord-340375-lhv83zac 159 12 license license NN cord-340375-lhv83zac 159 13 to to TO cord-340375-lhv83zac 159 14 display display VB cord-340375-lhv83zac 159 15 the the DT cord-340375-lhv83zac 159 16 preprint preprint NN cord-340375-lhv83zac 159 17 in in IN cord-340375-lhv83zac 159 18 perpetuity perpetuity NN cord-340375-lhv83zac 159 19 . . . cord-340375-lhv83zac 160 1 The the DT cord-340375-lhv83zac 160 2 copyright copyright NN cord-340375-lhv83zac 160 3 holder holder NN cord-340375-lhv83zac 160 4 for for IN cord-340375-lhv83zac 160 5 this this DT cord-340375-lhv83zac 160 6 preprint preprint NN cord-340375-lhv83zac 160 7 . . . cord-340375-lhv83zac 161 1 https://doi.org/10 https://doi.org/10 NNP cord-340375-lhv83zac 161 2 . . . cord-340375-lhv83zac 162 1 1101 1101 CD cord-340375-lhv83zac 162 2 /2020 /2020 . cord-340375-lhv83zac 162 3 _SP cord-340375-lhv83zac 163 1 Histograms Histograms NNP cord-340375-lhv83zac 163 2 of of IN cord-340375-lhv83zac 163 3 the the DT cord-340375-lhv83zac 163 4 posterior posterior JJ cord-340375-lhv83zac 163 5 distributions distribution NNS cord-340375-lhv83zac 163 6 for for IN cord-340375-lhv83zac 163 7 the the DT cord-340375-lhv83zac 163 8 five five CD cord-340375-lhv83zac 163 9 parameters parameter NNS cord-340375-lhv83zac 163 10 for for IN cord-340375-lhv83zac 163 11 our -PRON- PRP$ cord-340375-lhv83zac 163 12 last last JJ cord-340375-lhv83zac 163 13 model model NN cord-340375-lhv83zac 163 14 . . . cord-340375-lhv83zac 164 1 is be VBZ cord-340375-lhv83zac 164 2 the the DT cord-340375-lhv83zac 164 3 author author NN cord-340375-lhv83zac 164 4 / / SYM cord-340375-lhv83zac 164 5 funder funder NN cord-340375-lhv83zac 164 6 , , , cord-340375-lhv83zac 164 7 who who WP cord-340375-lhv83zac 164 8 has have VBZ cord-340375-lhv83zac 164 9 granted grant VBN cord-340375-lhv83zac 164 10 medRxiv medRxiv NNS cord-340375-lhv83zac 164 11 a a DT cord-340375-lhv83zac 164 12 license license NN cord-340375-lhv83zac 164 13 to to TO cord-340375-lhv83zac 164 14 display display VB cord-340375-lhv83zac 164 15 the the DT cord-340375-lhv83zac 164 16 preprint preprint NN cord-340375-lhv83zac 164 17 in in IN cord-340375-lhv83zac 164 18 perpetuity perpetuity NN cord-340375-lhv83zac 164 19 . . . cord-340375-lhv83zac 165 1 df df NNP cord-340375-lhv83zac 165 2 . . . cord-340375-lhv83zac 166 1 CC CC NNP cord-340375-lhv83zac 166 2 - - HYPH cord-340375-lhv83zac 166 3 BY BY NNP cord-340375-lhv83zac 166 4 - - HYPH cord-340375-lhv83zac 166 5 NC NC NNP cord-340375-lhv83zac 166 6 - - HYPH cord-340375-lhv83zac 166 7 ND ND NNP cord-340375-lhv83zac 166 8 4.0 4.0 CD cord-340375-lhv83zac 166 9 International international JJ cord-340375-lhv83zac 166 10 license license NN cord-340375-lhv83zac 167 1 It -PRON- PRP cord-340375-lhv83zac 167 2 is be VBZ cord-340375-lhv83zac 167 3 made make VBN cord-340375-lhv83zac 167 4 available available JJ cord-340375-lhv83zac 167 5 under under IN cord-340375-lhv83zac 167 6 a a DT cord-340375-lhv83zac 168 1 is be VBZ cord-340375-lhv83zac 168 2 the the DT cord-340375-lhv83zac 168 3 author author NN cord-340375-lhv83zac 168 4 / / SYM cord-340375-lhv83zac 168 5 funder funder NN cord-340375-lhv83zac 168 6 , , , cord-340375-lhv83zac 168 7 who who WP cord-340375-lhv83zac 168 8 has have VBZ cord-340375-lhv83zac 168 9 granted grant VBN cord-340375-lhv83zac 168 10 medRxiv medRxiv NNS cord-340375-lhv83zac 168 11 a a DT cord-340375-lhv83zac 168 12 license license NN cord-340375-lhv83zac 168 13 to to TO cord-340375-lhv83zac 168 14 display display VB cord-340375-lhv83zac 168 15 the the DT cord-340375-lhv83zac 168 16 preprint preprint NN cord-340375-lhv83zac 168 17 in in IN cord-340375-lhv83zac 168 18 perpetuity perpetuity NN cord-340375-lhv83zac 168 19 . . . cord-340375-lhv83zac 169 1 ( ( -LRB- cord-340375-lhv83zac 169 2 which which WDT cord-340375-lhv83zac 169 3 was be VBD cord-340375-lhv83zac 169 4 not not RB cord-340375-lhv83zac 169 5 peer peer NN cord-340375-lhv83zac 169 6 - - HYPH cord-340375-lhv83zac 169 7 reviewed review VBN cord-340375-lhv83zac 169 8 ) ) -RRB- cord-340375-lhv83zac 170 1 The the DT cord-340375-lhv83zac 170 2 copyright copyright NN cord-340375-lhv83zac 170 3 holder holder NN cord-340375-lhv83zac 170 4 for for IN cord-340375-lhv83zac 170 5 this this DT cord-340375-lhv83zac 170 6 preprint preprint NN cord-340375-lhv83zac 170 7 . . . cord-340375-lhv83zac 171 1 https://doi.org/10 https://doi.org/10 NNP cord-340375-lhv83zac 171 2 . . . cord-340375-lhv83zac 172 1 1101 1101 CD cord-340375-lhv83zac 172 2 /2020 /2020 . cord-340375-lhv83zac 173 1 if if IN cord-340375-lhv83zac 173 2 propdf<0 propdf<0 NNP cord-340375-lhv83zac 173 3 alp=-99999 alp=-99999 NN cord-340375-lhv83zac 173 4 ; ; : cord-340375-lhv83zac 173 5 else else RB cord-340375-lhv83zac 173 6 Pred Pred NNP cord-340375-lhv83zac 173 7 = = SYM cord-340375-lhv83zac 173 8 cur(1)./(1+cur(2)*exp(-cur(3)*t cur(1)./(1+cur(2)*exp(-cur(3)*t NNP cord-340375-lhv83zac 173 9 ) ) -RRB- cord-340375-lhv83zac 173 10 ) ) -RRB- cord-340375-lhv83zac 173 11 ; ; : cord-340375-lhv83zac 174 1 Ln ln NN cord-340375-lhv83zac 174 2 = = SYM cord-340375-lhv83zac 174 3 gentdst(y gentdst(y NNP cord-340375-lhv83zac 174 4 , , , cord-340375-lhv83zac 174 5 Pred Pred NNP cord-340375-lhv83zac 174 6 , , , cord-340375-lhv83zac 174 7 cur(4 cur(4 IN cord-340375-lhv83zac 174 8 ) ) -RRB- cord-340375-lhv83zac 174 9 , , , cord-340375-lhv83zac 174 10 exp(propdf exp(propdf NNP cord-340375-lhv83zac 174 11 ) ) -RRB- cord-340375-lhv83zac 174 12 ) ) -RRB- cord-340375-lhv83zac 174 13 ; ; : cord-340375-lhv83zac 174 14 Ln ln NN cord-340375-lhv83zac 174 15 = = SYM cord-340375-lhv83zac 174 16 sum(wei.*log(Ln sum(wei.*log(Ln NNP cord-340375-lhv83zac 174 17 ) ) -RRB- cord-340375-lhv83zac 174 18 ) ) -RRB- cord-340375-lhv83zac 174 19 ; ; : cord-340375-lhv83zac 175 1 Ln ln NN cord-340375-lhv83zac 175 2 = = SYM cord-340375-lhv83zac 175 3 Ln+log((1/29)*exp(-(1/29)*(exp(propdf)-1 Ln+log((1/29)*exp(-(1/29)*(exp(propdf)-1 NNP cord-340375-lhv83zac 175 4 ) ) -RRB- cord-340375-lhv83zac 175 5 ) ) -RRB- cord-340375-lhv83zac 175 6 ) ) -RRB- cord-340375-lhv83zac 175 7 ; ; : cord-340375-lhv83zac 175 8 alp=(Ln alp=(Ln NNP cord-340375-lhv83zac 175 9 - - HYPH cord-340375-lhv83zac 175 10 Lp)+(log(propdf)-log(curdf Lp)+(log(propdf)-log(curdf NNP cord-340375-lhv83zac 175 11 ) ) -RRB- cord-340375-lhv83zac 175 12 ) ) -RRB- cord-340375-lhv83zac 176 1 ; ; : cord-340375-lhv83zac 176 2 % % NN cord-340375-lhv83zac 176 3 accounting accounting NN cord-340375-lhv83zac 176 4 for for IN cord-340375-lhv83zac 176 5 the the DT cord-340375-lhv83zac 176 6 log log NN cord-340375-lhv83zac 176 7 - - HYPH cord-340375-lhv83zac 176 8 normal normal JJ cord-340375-lhv83zac 176 9 proposal proposal NN cord-340375-lhv83zac 176 10 ; ; : cord-340375-lhv83zac 176 11 function function VB cord-340375-lhv83zac 176 12 y y NNP cord-340375-lhv83zac 176 13 = = NNP cord-340375-lhv83zac 176 14 gentdst(x gentdst(x NNP cord-340375-lhv83zac 176 15 , , , cord-340375-lhv83zac 176 16 m m NNP cord-340375-lhv83zac 176 17 , , , cord-340375-lhv83zac 176 18 s s NNP cord-340375-lhv83zac 176 19 , , , cord-340375-lhv83zac 176 20 v v NN cord-340375-lhv83zac 176 21 ) ) -RRB- cord-340375-lhv83zac 176 22 % % NN cord-340375-lhv83zac 176 23 x x SYM cord-340375-lhv83zac 176 24 -data -data NN cord-340375-lhv83zac 176 25 point point NN cord-340375-lhv83zac 176 26 , , , cord-340375-lhv83zac 176 27 m m NNP cord-340375-lhv83zac 176 28 -location -location NNP cord-340375-lhv83zac 176 29 , , , cord-340375-lhv83zac 176 30 s s NNP cord-340375-lhv83zac 176 31 -scale -scale NN cord-340375-lhv83zac 176 32 , , , cord-340375-lhv83zac 176 33 v v NN cord-340375-lhv83zac 176 34 0 0 CD cord-340375-lhv83zac 176 35 degrees degree NNS cord-340375-lhv83zac 176 36 of of IN cord-340375-lhv83zac 176 37 freedom freedom NN cord-340375-lhv83zac 176 38 ; ; . cord-340375-lhv83zac 177 1 c=(1 c=(1 NNP cord-340375-lhv83zac 177 2 / / SYM cord-340375-lhv83zac 177 3 sqrt(v))*(1/(beta(v/2 sqrt(v))*(1/(beta(v/2 XX cord-340375-lhv83zac 177 4 , , , cord-340375-lhv83zac 177 5 0.5 0.5 CD cord-340375-lhv83zac 177 6 ) ) -RRB- cord-340375-lhv83zac 177 7 ) ) -RRB- cord-340375-lhv83zac 177 8 ) ) -RRB- cord-340375-lhv83zac 178 1 ; ; : cord-340375-lhv83zac 178 2 y=(c y=(c UH cord-340375-lhv83zac 178 3 / / SYM cord-340375-lhv83zac 178 4 s)*(1+((x s)*(1+((x VBN cord-340375-lhv83zac 178 5 - - HYPH cord-340375-lhv83zac 178 6 m).^2)/(v*(s^2))).^(-0.5*(v+1 m).^2)/(v*(s^2))).^(-0.5*(v+1 NNP cord-340375-lhv83zac 178 7 ) ) -RRB- cord-340375-lhv83zac 178 8 ) ) -RRB- cord-340375-lhv83zac 178 9 ; ; : cord-340375-lhv83zac 178 10 Estimation estimation NN cord-340375-lhv83zac 178 11 of of IN cord-340375-lhv83zac 178 12 the the DT cord-340375-lhv83zac 178 13 Final Final NNP cord-340375-lhv83zac 178 14 Size Size NNP cord-340375-lhv83zac 178 15 of of IN cord-340375-lhv83zac 178 16 Coronavirus Coronavirus NNP cord-340375-lhv83zac 178 17 Epidemic Epidemic NNP cord-340375-lhv83zac 178 18 by by IN cord-340375-lhv83zac 178 19 the the DT cord-340375-lhv83zac 178 20 Logistic Logistic NNP cord-340375-lhv83zac 178 21 Model Model NNP cord-340375-lhv83zac 178 22 . . . cord-340375-lhv83zac 179 1 medRxiv medRxiv NNS cord-340375-lhv83zac 179 2 Understanding understand VBG cord-340375-lhv83zac 179 3 the the DT cord-340375-lhv83zac 179 4 Metropolis Metropolis NNP cord-340375-lhv83zac 179 5 - - HYPH cord-340375-lhv83zac 179 6 Hastings Hastings NNP cord-340375-lhv83zac 179 7 Algorithm Algorithm NNP cord-340375-lhv83zac 179 8 Deep Deep NNP cord-340375-lhv83zac 179 9 Sparse sparse JJ cord-340375-lhv83zac 179 10 Rectifier Rectifier NNP cord-340375-lhv83zac 179 11 Neural Neural NNP cord-340375-lhv83zac 179 12 Networks Networks NNPS cord-340375-lhv83zac 179 13 . . . cord-340375-lhv83zac 180 1 Proceedings proceeding NNS cord-340375-lhv83zac 180 2 of of IN cord-340375-lhv83zac 180 3 the the DT cord-340375-lhv83zac 180 4 14 14 CD cord-340375-lhv83zac 180 5 th th NNP cord-340375-lhv83zac 180 6 International International NNP cord-340375-lhv83zac 180 7 Conference Conference NNP cord-340375-lhv83zac 180 8 on on IN cord-340375-lhv83zac 180 9 Artificial Artificial NNP cord-340375-lhv83zac 180 10 Intelligence Intelligence NNP cord-340375-lhv83zac 180 11 and and CC cord-340375-lhv83zac 180 12 Statistics Statistics NNPS cord-340375-lhv83zac 180 13 Bayesian Bayesian NNP cord-340375-lhv83zac 180 14 Estimation Estimation NNP cord-340375-lhv83zac 180 15 Supersedes supersede VBZ cord-340375-lhv83zac 180 16 the the DT cord-340375-lhv83zac 180 17 t t NN cord-340375-lhv83zac 180 18 test test NN cord-340375-lhv83zac 181 1 A a DT cord-340375-lhv83zac 181 2 Flexible flexible JJ cord-340375-lhv83zac 181 3 Growth growth NN cord-340375-lhv83zac 181 4 Function function NN cord-340375-lhv83zac 181 5 for for IN cord-340375-lhv83zac 181 6 Empirical Empirical NNP cord-340375-lhv83zac 181 7 Use Use NNP cord-340375-lhv83zac 181 8 Maximum Maximum NNP cord-340375-lhv83zac 181 9 Weighted weighted JJ cord-340375-lhv83zac 181 10 Likelihood Likelihood NNP cord-340375-lhv83zac 181 11 Estimation estimation NN cord-340375-lhv83zac 181 12 in in IN cord-340375-lhv83zac 181 13 Logistic Logistic NNP cord-340375-lhv83zac 181 14 Regression Regression NNP cord-340375-lhv83zac 181 15 Generalized Generalized NNP cord-340375-lhv83zac 181 16 Logistic Logistic NNP cord-340375-lhv83zac 181 17 Growth Growth NNP cord-340375-lhv83zac 181 18 Modeling Modeling NNP cord-340375-lhv83zac 181 19 of of IN cord-340375-lhv83zac 181 20 the the DT cord-340375-lhv83zac 181 21 COVID-19 COVID-19 NNP cord-340375-lhv83zac 181 22 Outbreak Outbreak NNP cord-340375-lhv83zac 181 23 in in IN cord-340375-lhv83zac 181 24 29 29 CD cord-340375-lhv83zac 181 25 Provinces province NNS cord-340375-lhv83zac 181 26 in in IN cord-340375-lhv83zac 181 27 China China NNP cord-340375-lhv83zac 181 28 % % NN cord-340375-lhv83zac 182 1 The the DT cord-340375-lhv83zac 182 2 columns column NNS cord-340375-lhv83zac 182 3 of of IN cord-340375-lhv83zac 182 4 PAR PAR NNP cord-340375-lhv83zac 182 5 correspond correspond VBP cord-340375-lhv83zac 182 6 to to IN cord-340375-lhv83zac 182 7 the the DT cord-340375-lhv83zac 182 8 posteriors posterior NNS cord-340375-lhv83zac 182 9 for for IN cord-340375-lhv83zac 182 10 K K NNP cord-340375-lhv83zac 182 11 , , , cord-340375-lhv83zac 182 12 A A NNP cord-340375-lhv83zac 182 13 , , , cord-340375-lhv83zac 182 14 r r NN cord-340375-lhv83zac 182 15 , , , cord-340375-lhv83zac 182 16 scale scale NN cord-340375-lhv83zac 182 17 , , , cord-340375-lhv83zac 182 18 and and CC cord-340375-lhv83zac 182 19 df df NNP cord-340375-lhv83zac 182 20 respectively respectively RB cord-340375-lhv83zac 182 21 ; ; : cord-340375-lhv83zac 182 22 nit=30000000 nit=30000000 ADD cord-340375-lhv83zac 183 1 wei wei NNP cord-340375-lhv83zac 183 2 = = SYM cord-340375-lhv83zac 183 3 wei wei NNP cord-340375-lhv83zac 183 4 / / SYM cord-340375-lhv83zac 183 5 sum(wei)*28 sum(wei)*28 NNP cord-340375-lhv83zac 183 6 /(1+cur(2)*exp(-cur(3)*t /(1+cur(2)*exp(-cur(3)*t . cord-340375-lhv83zac 183 7 ) ) -RRB- cord-340375-lhv83zac 183 8 ) ) -RRB- cord-340375-lhv83zac 183 9 /29)*exp(-(1/29)*(exp(curdf)-1 /29)*exp(-(1/29)*(exp(curdf)-1 . cord-340375-lhv83zac 183 10 ) ) -RRB- cord-340375-lhv83zac 183 11 ) ) -RRB- cord-340375-lhv83zac 183 12 ) ) -RRB- cord-340375-lhv83zac 183 13 ) ) -RRB- cord-340375-lhv83zac 184 1 < < XX cord-340375-lhv83zac 184 2 = = SYM cord-340375-lhv83zac 184 3 0 0 NFP cord-340375-lhv83zac 185 1 || || . cord-340375-lhv83zac 186 1 prop(2)<=0 prop(2)<=0 . cord-340375-lhv83zac 187 1 || || . cord-340375-lhv83zac 188 1 prop(3)<=0 prop(3)<=0 NNP cord-340375-lhv83zac 189 1 || || CD cord-340375-lhv83zac 189 2 prop(4)<=0 prop(4)<=0 CD cord-340375-lhv83zac 189 3 alp=0 alp=0 NNP cord-340375-lhv83zac 189 4 /(1+prop(2)*exp(-prop(3)*t /(1+prop(2)*exp(-prop(3)*t NNP cord-340375-lhv83zac 189 5 ) ) -RRB- cord-340375-lhv83zac 189 6 ) ) -RRB- cord-340375-lhv83zac 189 7 /29)*exp(-(1/29)*(exp(curdf)-1 /29)*exp(-(1/29)*(exp(curdf)-1 . cord-340375-lhv83zac 189 8 ) ) -RRB- cord-340375-lhv83zac 189 9 ) ) -RRB- cord-340375-lhv83zac 189 10 ) ) -RRB-