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

See all articles by Dimitris Karlis

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