The COM-Poisson model for count data: A survey of methods and applications

Sellers, K F and Borle, S and Shmueli, G (2012) The COM-Poisson model for count data: A survey of methods and applications. Applied Stochastic Models in Business and Industry, 28 (2). pp. 104-116. ISSN 1526-4025

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The Poisson distribution is a popular distribution for modeling count data, yet it is constrained by its equidispersion assumption, making it less than ideal for modeling real data that often exhibit over-dispersion or under-dispersion. The COM-Poisson distribution is a two-parameter generalization of the Poisson distribution that allows for a wide range of over-dispersion and under-dispersion. It not only generalizes the Poisson distribution but also contains the Bernoulli and geometric distributions as special cases. This distribution's flexibility and special properties have prompted a fast growth of methodological and applied research in various fields. This paper surveys the different COM-Poisson models that have been published thus far and their applications in areas including marketing, transportation, and biology, among others.

Item Type: Article
Additional Information: biology; Conway-Maxwell-Poisson; marketing; overdispersion; regression model; transportation; underdispersion
Subjects: Applied Statistics and Computing
Date Deposited: 29 Nov 2014 11:52
Last Modified: 06 Jul 2023 21:05

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