An ordering of dependence for contingency tables (Q1081246)

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scientific article; zbMATH DE number 3969913
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English
An ordering of dependence for contingency tables
scientific article; zbMATH DE number 3969913

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    An ordering of dependence for contingency tables (English)
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    1985
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    The matrices with fixed marginal sums are ordered according to the definition of majorization of \textit{A. W. Marshall} and \textit{I. Olkin} [Inequalities: Theory of majorization and its applications. (1979; Zbl 0437.26007)]. Necessary and sufficient conditions are given for maximal and minimal matrices. Applications to contingency tables and discrete bivariate distributions are discussed.
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    Schur concave functions
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    network algorithm of Mehta and Patel
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    P-value of Fisher's exact test
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    matrices with fixed marginal sums
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    majorization
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    Necessary and sufficient conditions
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    maximal and minimal matrices
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    contingency tables
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    discrete bivariate distributions
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