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Mixed Poisson Distributions
Authors:Dimitris Karlis  Evdokia Xekalaki
Institution:Department of Statistics, Athens University of Economics and Business, Greece;Department of Statistics, Athens University of Economics and Business, Greece and Department of Statistics, Trinity College, Dublin, Ireland
Abstract:Mixed Poisson distributions have been used in a wide range of scientific fields for modeling nonhomogeneous 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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