Asymptotic distributions of tests for dispersive ordering
type: Item
instance of: scholarly article
title: Asymptotic distributions of tests for dispersive ordering
zbMATH Open document ID: 0774.62015
DOI: 10.1016/0167-7152(92)90278-D
published in: Statistics \& Probability Letters
publication date: 1993-01-17T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 62E20
Mathematics Subject Classification ID: 62G10
Mathematics Subject Classification ID: 62G30
zbMATH DE Number: 96197
zbMATH Keywords: partial ordering
zbMATH Keywords: test of goodness of fit
zbMATH Keywords: invariance
zbMATH Keywords: unbiasedness
zbMATH Keywords: TTT transformation
zbMATH Keywords: weighted empirical process
zbMATH Keywords: spacings
zbMATH Keywords: piecewise linear function
author: Jarosław Bartoszewicz
reviewed by: Jarosław Bartoszewicz
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 96197