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A framework for positive dependence - MaRDI portal

A framework for positive dependence (Q914297)

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scientific article; zbMATH DE number 4149386
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English
A framework for positive dependence
scientific article; zbMATH DE number 4149386

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    A framework for positive dependence (English)
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    1989
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    The authors define the abstract concept of a positive dependence ordering (PDO) on the set of bivariate distributions. The class of all distributions which are larger w.r.t. a PDO than the product measure then satisfies some properties which are called positive dependence properties (PDP). The authors ask whether one can generate the class of associated distributions by a PDO. Monotone functions w.r.t. PDO's are called measures of positive dependence (MPD). Some examples are discussed.
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    Fréchet bounds
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    positive quadrant dependence
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    measure of association
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    ordinal contingency table
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    positive dependence ordering
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    bivariate distributions
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    product measure
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    positive dependence properties
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    Monotone functions
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    measures of positive dependence
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    examples
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