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arXiv · 1504.05443

Characterizations and Infinite Divisibility of Extended COM-Poisson Distribution

Huiming Zhang
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Abstract

This article provides some characterizations of extended COM-Poisson distribution: conditional distribution given the sum, functional operator characterization (Stein identity). We also give some conditions such that the extended COM-Poisson distribution is infinitely divisible, hence some subclass of extended COM-Poisson distributions are discrete compound Poisson distribution.

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Huiming Zhang. 2015-04-19. Characterizations and Infinite Divisibility of Extended COM-Poisson Distribution. https://arxiv.org/abs/1504.05443

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