Asymptotic distributions of tests for dispersive ordering

A class of tests for testing the hypothesis H 0: F = disp G against H : F ⩽ 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 Bartoszewic...

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Bibliographic Details
Published in:Statistics & probability letters 1992-09, Vol.15 (1), p.11-20
Main Author: Bartoszewicz, Jarosław
Format: Article
Language:English
Subjects:
Exact sciences and technology
invariance
Mathematics
Nonparametric inference
Partial ordering
Partial ordering spacings test of goodness of fit invariance unbiasedness TTT transformation weighted empirical process
Probability and statistics
Sciences and techniques of general use
spacings
Statistics
test of goodness of fit
TTT transformation
unbiasedness
weighted empirical process
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Summary:A class of tests for testing the hypothesis H 0: F = disp G against H : F ⩽ 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 Bartoszewicz and Bednarski (1990) is generalized.
ISSN:0167-7152
1879-2103
DOI:10.1016/0167-7152(92)90278-D