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- W1567367450 abstract "Problems of application of nonparametric goodness-of-fit tests and /spl chi//sup 2/ type tests have been considered. The following points concerning the tests of /spl chi//sup 2/ type have been considered: (a) correctness problems in usage of /spl chi//sub k-r-1//sup 2/ -distributions as the limiting laws depending on estimation method used; (b) grouping methods providing maximal test power for close alternative hypotheses; (c) choice of the optimal interval number by the maximal test power. Optimal grouping tables have been constructed. Nonparametric tests of Kolmogorov type, /spl omega//sup 2/ and /spl Omega//sup 2/ Mises type lose their property of independence from distribution in composite hypothesis testing. The limiting laws depend on the corresponding to the hypothesis under test, number and type of estimated parameters, their values and the estimation method. The models of limiting distributions for nonparametric test statistics have been constructed for a number of composite hypotheses. Obtained results are included in the GOSSTANDART recommendations of Russia Applied statistics. Rules of check of experimental and theoretical of the consent. Part 1 Goodness-of-fit tests of a type chi-square (P 50.1.033-2001), part 2 Nonparametric goodness-of-fit tests (P 50.1.037-2002)." @default.
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- W1567367450 date "2003-07-06" @default.
- W1567367450 modified "2023-09-26" @default.
- W1567367450 title "Rules of application of goodness-of-fit tests in simple and composite hypothesis testing" @default.
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