2012
DOI: 10.1080/03610926.2011.564742
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Functional Form for the Generalized Poisson Regression Model

Abstract: This article develops a functional form of the generalized Poisson regression model that parametrically nests the Poisson and the two well known generalized Poisson regression models (GP-1 and GP-2). The proposed model is applied on theMalaysian motor insurance claim count data.

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Cited by 29 publications
(22 citation statements)
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“…Several parameterizations were performed for the generalized Poisson and negative binomial regression models (Famoye et al, 2004;Wang and Famoye, 1997;Zamani and Ismail, 2012;Greene, 2008;Zamani et al, 2014). One of the parameterization of the GP regression model, which is used in this study, was used by Wang and Famoye (1997) for analyzing household fertility count data and by Ismail and Jemain (2007) for analyzing the Malaysian claim count data.…”
Section: Estimator Modelsmentioning
confidence: 99%
“…Several parameterizations were performed for the generalized Poisson and negative binomial regression models (Famoye et al, 2004;Wang and Famoye, 1997;Zamani and Ismail, 2012;Greene, 2008;Zamani et al, 2014). One of the parameterization of the GP regression model, which is used in this study, was used by Wang and Famoye (1997) for analyzing household fertility count data and by Ismail and Jemain (2007) for analyzing the Malaysian claim count data.…”
Section: Estimator Modelsmentioning
confidence: 99%
“…This paper proposes a new BGP-1 regression which is based on GP-1 regression suggested in Zamani and Ismail [12]. GP-1 regression is obtained by replacing …”
Section: Bivariate Generalized Poisson (Bgp) Regressionmentioning
confidence: 99%
“…By excluding zero exposures, we have 547 cross-classified classes of data to be fitted to each set. The same OD claim count data was also analyzed in Zamani and Ismail [12] who fitted univariate GP-P regression. In insurance practices, claim count may give rise to multiple types.…”
Section: Applicationmentioning
confidence: 99%
“…The negative binomial regression model has been fitted for overdispersed claim count and count data in other areas by Ismail and Jemain (2007), Lawless (1987), McCullagh and Nelder (1989) and Zulkifli et al (2013). Generalized Poisson regression models have been applied to overdispersed and underdispersed count data by Consul (1989), Consul and Famoye (1992), Wang and Famoye (1997), Zamani and Ismail (2012) and Zamani and Ismail (2014).…”
Section: Introductionmentioning
confidence: 99%