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Communications in Statistics - Theory and Methods Volume 34, 2005 - Issue 3
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INFERENCE

Analysis of Long-Tailed Count Data by Poisson Mixtures

Ramesh C. Gupta Department of Mathematics and Statistics, University of Maine, Orono, Maine, USA
&
S.H. Ong Institute of Mathematical Sciences, University of Malaya, Kuala Lumpur, Malaysia
Pages 557-573 | Received 04 Feb 2004, Accepted 04 Aug 2004, Published online: 02 Sep 2006
 
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Abstract

This article deals with various mixed Poisson distributions in order to analyze count data characterized by their long tails and over dispersion when the Poisson distribution and negative binomial distribution are found to be inadequate. Several mixed Poisson distributions are presented and their structural properties are investigated. Three well-known data sets, having long tails, are analyzed and the results of fitting by various models are provided.

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