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Distribution of statistics \(\omega^ 2\) with Lehmann alternatives - MaRDI portal

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Distribution of statistics \(\omega^ 2\) with Lehmann alternatives (Q1355306)

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scientific article; zbMATH DE number 1011664
Language Label Description Also known as
English
Distribution of statistics \(\omega^ 2\) with Lehmann alternatives
scientific article; zbMATH DE number 1011664

    Statements

    Distribution of statistics \(\omega^ 2\) with Lehmann alternatives (English)
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    21 May 1997
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    A statistic of a Von Mises-Smirnov \(\omega^2\) type is investigated for testing the hypothesis \(H_0: F=G^k\), where \(k>1\) is fixed, and \(x_1, \dots, x_m\) and \(y_1, \dots, y_n\) are two independent random samples from populations with continuous distribution functions \(F(x)\) and \(G(y)\), respectively. A method for its precise distribution calculation with small values of \(m\) and \(n\) is described.
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    von Mises-Smirnov statistics
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