Characterizations and Infinite Divisibility of Extended COM-Poisson Distribution
Statistics Theory
2015-08-26 v2 Statistics Theory
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.
Keywords
Cite
@article{arxiv.1504.05443,
title = {Characterizations and Infinite Divisibility of Extended COM-Poisson Distribution},
author = {Huiming Zhang},
journal= {arXiv preprint arXiv:1504.05443},
year = {2015}
}
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4 pages