A generalized negative binomial distribution based on an extended Poisson process

A generalized negative binomial distribution based on an extended Poisson process

Luis Ernesto Bueno Salasar, José Galvão Leite, and Francisco Louzada Neto

Source: Braz. J. Probab. Stat. Volume 24, Number 1 (2010), 91-99.

Abstract

In this article we propose a generalized negative binomial distribution, which is constructed based on an extended Poisson process (a generalization of the homogeneous Poisson process). This distribution is intended to model discrete data with presence of zero-inflation and over-dispersion. For a dataset on animal abundance which presents over-dispersion and a high frequency of zeros, a comparison between our extended distribution and other common distributions used for modeling this kind of data is addressed, supporting the fitting of the proposed model.

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Keywords: Discrete probabilistic models; excess of zeros; extended Poisson process; negative binomial distribution; over-dispersion; probabilistic model

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.bjps/1262271218
Digital Object Identifier: doi:10.1214/09-BJPS103
Mathematical Reviews number (MathSciNet): MR2580991

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