Goodness-of-fit tests via partitions of chi-squared test statistics derived from characterizing conditions. (English) Zbl 1130.62044
Summary: Here are presented goodness-of-fit tests via conditions characterizing continuous distributions in terms of moments of record values. We study partitions of the chi-squared test statistics for testing goodness-of-fit in two components, each asymptotically distributed as a chi-squared variate with one degree of freedom. The formulae of the tests obtained in this way are remarkably simple and they are expressed in original sample values or in terms of extremal statistics.
MSC:
62G10 | Nonparametric hypothesis testing |
62E10 | Characterization and structure theory of statistical distributions |
62G30 | Order statistics; empirical distribution functions |
62G32 | Statistics of extreme values; tail inference |