On geometric stability and Poisson mixtures (Q1305192)

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scientific article; zbMATH DE number 1345982
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On geometric stability and Poisson mixtures
scientific article; zbMATH DE number 1345982

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    On geometric stability and Poisson mixtures (English)
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    13 March 2000
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    The purpose of this paper is to introduce a generalized notion of geometric stability for distributions with support in \(\mathbb{Z}_+\) and \(\mathbb{R}_+\). Several characterizations are obtained. A related concept of geometric attraction is also studied. Importantly, Poisson mixtures are used to deduce results for the \(\mathbb{R}_+\)-case from their \(\mathbb{Z}_+\)-counterparts.
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    geometric stability
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    geometric attraction
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    Poisson mixtures
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