Characterizations and Infinite Divisibility of Extended COM-Poisson Distribution

2015/04/19 by Huiming Zhang, Zhang, Huiming
Mathematics · #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #FOS: Mathematics #Holomorphic and Operator Theory #Statistics Theory (math.ST)

paper · pdf · doi:10.48550/arxiv.1504.05443

openalex publication_date 2015/04/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Extended Conway-Maxwell-Poisson distribution and its properties and applications

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