id author title date pages extension mime words sentences flesch summary cache txt cord-026215-neqsup40 Grzegorzewski, Przemyslaw Two-Sample Dispersion Problem for Fuzzy Data 2020-05-16 .txt text/plain 4713 335 67 A new permutation two-sample test for dispersion based on fuzzy random variables is proposed. At least some of the problems associated with the lack of a satisfying difference in constructing statistical tools for reasoning based on fuzzy observations could be overcome by using adequate metrics defined in F(R) -for the general overview see [2] . For instance, in most cases we are not able to find the null distribution of a test statistic based on fuzzy data and, consequently, to find either the critical value or to compute the p-value required for rejection or acceptance of the hypothesis under study. All these reasons indicate that the permutation test applied to fuzzy random variables might be also a competitive tool useful in statistical inference for imprecise data. On the other hand, in Fig. 2 we have a histogram made for the test statistic (11) null distribution obtained for two fuzzy samples of the same samle sizes as before but which differ in dispersion. ./cache/cord-026215-neqsup40.txt ./txt/cord-026215-neqsup40.txt