Multivariate higher-degree stochastic increasing convexity (Q501831)

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scientific article; zbMATH DE number 6673157
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Multivariate higher-degree stochastic increasing convexity
scientific article; zbMATH DE number 6673157

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    Multivariate higher-degree stochastic increasing convexity (English)
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    10 January 2017
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    This paper studies the multivariate stochastic higher-order increasing convexity properties of distribution families indexed by a vector of parameters; in particular, with respect to location-scale families and (random) sums of independent and identically distributed random variables. Several examples and applications of the theoretically derived results are shown.
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    multivariate higher-degree increasing convex order
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    ordering of mixtures
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    parametric families of distributions
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    upper orthant order
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    orthant convex order
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