On Some New K-Samples Tests for Testing the Homogeneity of Distribution Laws

Abstract

Properties of k-samples tests for testing the homogeneity of distribution laws have been investigated. Tests have been proposed in which the maximum of the two-samples statistics of the Smirnov, the Lehmann-Rosenblatt and the Anderson-Darling tests as applied by pairs to the k-samples was utilized. Models of limiting statistics distributions for the proposed tests as well as for the Anderson-Darling k-sample test have been made. Comparative analysis of the power of the tests has been done.