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
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
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