Majboroda, R. E. 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 Keywords:consistent estimator of disorder time; testing hypotheses of homogeneity; variations of the median; presence of disorders; order statistics PDFBibTeX XMLCite \textit{R. E. Majboroda}, Theory Probab. Math. Stat. 42, 95--101 (1990; Zbl 0748.62026); translation from Teor. Veroyatn. Mat. Stat., Kiev 42, 82--87 (1990)