Brazilian Journal of Probability and Statistics

A generalized negative binomial distribution based on an extended Poisson process

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

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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.

Article information

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

Dates
First available in Project Euclid: 31 December 2009

Permanent link to this document
https://projecteuclid.org/euclid.bjps/1262271218

Digital Object Identifier
doi:10.1214/09-BJPS103

Mathematical Reviews number (MathSciNet)
MR2580991

Zentralblatt MATH identifier
1298.60023

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

Citation

Salasar, Luis Ernesto Bueno; Leite, José Galvão; Neto, Francisco Louzada. A generalized negative binomial distribution based on an extended Poisson process. Braz. J. Probab. Stat. 24 (2010), no. 1, 91--99. doi:10.1214/09-BJPS103. https://projecteuclid.org/euclid.bjps/1262271218


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