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Cited by 388

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Generalized poisson regression model

Consul, P.C., Famoye, Felix·1992·Communications in Statistics - Theory and Methods

Abstract

The generalized Poisson distribution has been found useful in fitting over-dispersed as well as under-dispersed count data. Since a number of models and methods have been proposed for the regression analysis of count data either with under-dispersion or with over-dispersion, we define and study a generalized Poisson regression (GPR) model which is useful in predicting a response variable affected by one or more covariates. This regression model is suitable for both types of dispersions. The methods of maximum likelihood and moments are given for the estimation of parameters. Approximate tests for the adequacy of the model are considered. Asymptotic tests are given for the significance of regression parameters. The GPR model has been applied to four observed data sets to which other regression models were applied earlier.

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Metadata

Authors
Consul, P. C., & Famoye, F.
Venue
Communications in Statistics - Theory and Methods
Published
1992-01
Volume
21
Issue
1
Pages
89-109
ISSN
  • 0361-0926 (ISSN-L)
  • 1532-415X
OpenAlex
W2058390080
Cited by
388
References
1
FWCI
1.38
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Generalized poisson regression model. https://app.cochat.ai/papers/10.1080/03610929208830766
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Consul, P. C., & Famoye, F. (1992). Generalized poisson regression model. Communications in Statistics - Theory and Methods. https://doi.org/10.1080/03610929208830766

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