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Asymptotic distributions of tests for dispersive ordering

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  • Bartoszewicz, Jaroslaw

Abstract

A class of tests for testing the hypothesis 0: F =disp G against : F [less-than-or-equals, slant] 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.

Suggested Citation

  • Bartoszewicz, Jaroslaw, 1992. "Asymptotic distributions of tests for dispersive ordering," Statistics & Probability Letters, Elsevier, vol. 15(1), pages 11-20, September.
    • Handle: RePEc:eee:stapro:v:15:y:1992:i:1:p:11-20
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    Cited by:

    1. Bartoszewicz, Jaroslaw, 1995. "Bahadur and Hodges-Lehmann approximate efficiencies of tests based on spacings," Statistics & Probability Letters, Elsevier, vol. 23(3), pages 211-220, May.
    2. Lisa Parveen & Ruhul Ali Khan & Murari Mitra, 2024. "A two sample nonparametric test for variability via empirical likelihood methods," Statistical Papers, Springer, vol. 65(7), pages 4243-4265, September.

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