Asymptotic distributions of tests for dispersive ordering (Q1199860)
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scientific article; zbMATH DE number 96197
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic distributions of tests for dispersive ordering |
scientific article; zbMATH DE number 96197 |
Statements
Asymptotic distributions of tests for dispersive ordering (English)
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17 January 1993
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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.
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partial ordering
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test of goodness of fit
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invariance
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unbiasedness
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TTT transformation
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weighted empirical process
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spacings
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piecewise linear function
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