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Mixed Poisson Distributions

International Statistical Review, Vol. 73, No. 1, pp. 35-58, 2005

24 Pages Posted: 10 Nov 2007 Last revised: 1 Feb 2009

Dimitris Karlis

Athens University of Economics and Business

Evdokia Xekalaki

Athens University of Economics and Business

Abstract

Mixed Poisson distributions have been used in a wide range of scientific fields for modelling non-homogeneous populations. This paper aims at reviewing the existing literature on Poisson mixtures by bringing together a great number of properties, while, at the same time, providing tangential information on general mixtures. A selective presentation of some of the most prominent members of the family of Poisson mixtures is made.

Keywords: Mixtures, Discrete distributions, Distribution theory, Mixing distribution, Overdispersion

Suggested Citation

Karlis, Dimitris and Xekalaki, Evdokia, Mixed Poisson Distributions. International Statistical Review, Vol. 73, No. 1, pp. 35-58, 2005. Available at SSRN: https://ssrn.com/abstract=1028742

Dimitris Karlis

Athens University of Economics and Business ( email )

76 Patission Street
Athens, 104 34
Greece

Evdokia Xekalaki (Contact Author)

Athens University of Economics and Business ( email )

76 Patission Street
GR-10434 Athens
Greece

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