Classification of multivariate life distributions based on partial ordering (Q2784127)

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scientific article; zbMATH DE number 1731121
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Classification of multivariate life distributions based on partial ordering
scientific article; zbMATH DE number 1731121

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    17 April 2002
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    Classification of multivariate life distributions based on partial ordering (English)
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    The author introduces multivariate generalizations of the univariate stochastic convex-transform order \((\leq_c)\), the univariate stochastic star order \((\leq_*)\), and the univariate stochastic superadditive order \((\leq_su)\). Some basic properties of the new orders are derived. Using the new orders, the author characterizes some multivariate generalizations of the IFR, DFR, IFRA, DFRA, NBU, and NWU aging notions.
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