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A median test for homogeneity of a sample. (English. Russian original) Zbl 0748.62026

Theory Probab. Math. Stat. 42, 95-101 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 42, 82-87 (1990).
Summary: A criterion for testing hypotheses of homogeneity of a sample based on detecting variations of the median is proposed. As an alternative, the hypothesis of the presence of disorders is considered. For the case of one disorder, a consistent estimator of the time of the disorder is constructed.

MSC:

62G10 Nonparametric hypothesis testing
62G20 Asymptotic properties of nonparametric inference
62G30 Order statistics; empirical distribution functions
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