Distribution-Free Tests for Two-Sample Location Problems udBased on Subsamples

摘要

Nonparametric tests for location problems have received much attention in the literature.udMany nonparametric tests have been proposed for one, two and several samples location problems. Inudthis paper a class of test statistics is proposed for two sample location problem when the underlyinguddistributions of the samples are symmetric. The class of test statistics proposed is linear combinationudof U-statistics whose kernel is based on subsamples extrema. The members of the new class areudshown to be asymptotically normal. The performance of the proposed class of tests is evaluated usingudPitman Asymptotic Relative Efficiency. It is observed that the members of the proposed class of testsudare better than the existing tests in the literature.