Estimation of generalized poisson distribution

Famoye, Felix; Lee, Carl M.-S.

doi:10.1080/03610919208813013

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Generalized Poisson Distributions

Famoye

Lee

2020

Wiley StatsRef: Statistics Reference Online

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The generalized Poisson distribution (GPD) is a two‐parameter discrete distribution. One of the parameters measures the location and the other measures the dispersion. The distribution is unimodal, and it can be skewed to the right or the left. It approaches the normal distribution when the location parameter gets very large. In this article, we present the definition and derive several important properties of the GPD. We review statistical inference and state some characterizations of the distribution. This article is expected to serve as a reference and stimulate further research work on the GPD.

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Generalized Poisson Distributions

Famoye

Lee

2020

Wiley StatsRef: Statistics Reference Online

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A Comparison of Generalized Poisson Distribution for Modeling Chromosome Aberrations

Lee

Famoye

1996

Biometrical J

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Various models have been developed for modeling the distribution of chromosome aberrations in the literature (e. g. CONSUL, 1989). Generalized Poisson distribution is among the popular ones. The parameters of this distribution provide meaningful interpretation of the induction mechanism of the chromosome aberrations. In this article, we apply several estimation methods to estimate the generalized Poisson parameters for fitting the number of chromosome aberrations under different dosages of radiations. The methods compared are moment, maximum likelihood, minimum chi-square, weighted discrepancy and empirically weighted rates of change. Our study suggests that the empirically weighted rates of change method results in smallest Mean Square Error and Mean Absolute Error for most dosages of radiations. The data used for this comparison are from JANARDAN and SCHAEFFER (1977).

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Comparison of methods of estimation for parameters of generalized Poisson distribution through simulation study

Wagh

Kamalja

2015

Communications in Statistics - Simulation and Computation

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Estimation of generalized poisson distribution

Cited by 4 publications

References 3 publications

Generalized Poisson Distributions

Generalized Poisson Distributions

A Comparison of Generalized Poisson Distribution for Modeling Chromosome Aberrations

Comparison of methods of estimation for parameters of generalized Poisson distribution through simulation study

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