Characterizations and Infinite Divisibility of Extended COM-Poisson Distribution
International Journal of Statistical Distributions and Applications
Volume 1, Issue 1, September 2015, Pages: 1-4
Received: Aug. 9, 2015; Accepted: Aug. 26, 2015; Published: Aug. 27, 2015
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Author
Huiming Zhang, School of Mathematics and Statistics, Central China Normal University, Wuhan, China
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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.
Keywords
Conway-Maxwell-Poisson distribution, conditional distribution, discrete compound Poisson distribution, infinitely divisible, Stein identity
To cite this article
Huiming Zhang, Characterizations and Infinite Divisibility of Extended COM-Poisson Distribution, International Journal of Statistical Distributions and Applications. Vol. 1, No. 1, 2015, pp. 1-4. doi: 10.11648/j.ijsd.20150101.11
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