Analysis of Long-Tailed Count Data by Poisson Mixtures
Ramesh C. Gupta, S. H. Ong · Communication in Statistics- Theory and Methods · 2005
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.