Asymptotic distributions of tests for dispersive ordering
A class of tests based on spacings for testing the hypothesis \(H_ 0: F=^{\text{disp}} G\) against \(H_ 1: F\leq^{\text{disp}} G\), where \(G\) is a known distribution, is considered. Asymptotic distributions of the test statistics under alternatives \(F(x)=G(K(x))\), where \(K\) is a piecewise linear function, are established. The result of the author and \textit{T. Bednarski} in ibid. 10, No. 4, 355-362 (1990; Zbl 0703.62058), is generalized.
scientific article; zbMATH DE number 96197