Characterizations and Infinite Divisibility of Extended COM-Poisson Distribution

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.

4 pages

References in corpus (2)

• Asymptotics of the discrete log-concave maximum likelihood estimator and related applications
• Extended Conway-Maxwell-Poisson distribution and its properties and applications

Cited by in corpus (1)

• When Is the Conway-Maxwell-Poisson Distribution Infinitely Divisible?