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Restricted generalized poisson regression model
Communications in Statistics - Theory and Methods, 1993The family of generalized Poisson distribution has been found useful in describing over-dispersed and under-dispersed count data. We propose the use of restricted generalized Poisson regression model to predict a response variable affected by one or more explanatory variables.
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Diagnostics analysis in censored generalized Poisson regression model
Journal of Statistical Computation and Simulation, 2007In this article, we develop the application of influence diagnostics in censored generalized Poisson regression (CGPR) models based on case-deletion method and local influence analysis. The one-step approximations of the estimates in the case-deletion model are given and case-deletion measures, such as generalized Cook distance, likelihood distance are
Feng-Chang Xie, Bo-Cheng Wei
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GENERALIZED LEAST SQUARES METHODS FOR BIVARIATE POISSON REGRESSION
Communications in Statistics - Theory and Methods, 2001We consider bivariate Poisson regression models to analyse bivariate counts obtained under a stratified sampling scheme. A hybrid maximum likelihood (ML)/generalized least squares (GLS) method is used to obtain estimates of the relevant parameters. The proposed two stage procedure is asymptotically equivalent to and computationally simpler than that ...
Linda Lee Ho, Julio da Motta Singer
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A Multivariate Generalized Poisson Regression Model
Communications in Statistics - Theory and Methods, 2014A multivariate generalized Poisson regression model based on the multivariate generalized Poisson distribution is defined and studied. The regression model can be used to describe a count data with any type of dispersion. The model allows for both positive and negative correlation between any pair of the response variables.
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Functional Form for the Generalized Poisson Regression Model
Communications in Statistics - Theory and Methods, 2012This 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 the Malaysian motor insurance claim count data.
Hossein Zamani, Noriszura Ismail
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General mixed Poisson regression models with varying dispersion
Statistics and Computing, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Barreto-Souza, Wagner +1 more
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Local influence measure of zero‐inflated generalized Poisson mixture regression models
Statistics in Medicine, 2012In many practical applications, count data often exhibit greater or less variability than allowed by the equality of mean and variance, referred to as overdispersion/underdispersion, and there are several reasons that may lead to the overdispersion/underdispersion such as zero inflation and mixture.
Chen, Xue-Dong +2 more
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Generalized poisson regression for positive count data
Communications in Statistics - Simulation and Computation, 1997This paper suggests a flexible parametrization of the generalized Poisson regression, which is likely to be particularly useful when the sample is truncated at zero. Suitable specification tests for this case are also studied. The use of the models and tests suggested is illustrated with an application to the number of recreational fishing trips taken ...
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Semi Varying Coefficient Zero-Inflated Generalized Poisson Regression Model
Communications in Statistics - Theory and Methods, 2014In this paper, the semi varying coefficient zero-inflated generalized Poisson model is discussed based on penalized log-likelihood. All the coefficient functions are fitted by penalized spline (P-spline), and Expectation-maximization algorithm is used to drive these estimators. The estimation approach is rapid and computationally stable.
Weihua Zhao +3 more
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AIP Conference Proceedings, 2014
This study relates the Poisson, mixed Poisson (MP), generalized Poisson (GP) and finite Poisson mixture (FPM) regression models through mean-variance relationship, and suggests the application of these models for overdispersed count data. As an illustration, the regression models are fitted to the US skin care count data.
Hossein Zamani +2 more
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This study relates the Poisson, mixed Poisson (MP), generalized Poisson (GP) and finite Poisson mixture (FPM) regression models through mean-variance relationship, and suggests the application of these models for overdispersed count data. As an illustration, the regression models are fitted to the US skin care count data.
Hossein Zamani +2 more
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