2005•Communication in Statistics- Theory and MethodsRequires access

Analysis of Long-Tailed Count Data by Poisson Mixtures

Ramesh C. Gupta, S. H. Ong

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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Key concepts: Count data, Poisson distribution, Negative binomial distribution, Compound Poisson distribution, Zero-inflated model, Statistics, Poisson binomial distribution, Quasi-likelihood