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A new form of bivariate generalized Poisson regression model
AIP Conference Proceedings, 2014This paper introduces a new form of bivariate generalized Poisson (BGP) regression which can be fitted to bivariate and correlated count data with covariates. The BGP regression suggested in this study can be fitted not only to bivariate count data with positive, zero or negative correlations, but also to underdispersed or overdispersed bivariate count
Pouya Faroughi, Noriszura Ismail
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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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Diagnostics for generalized Poisson regression models with errors in variables
Journal of Statistical Computation and Simulation, 2009In this paper, we develop diagnostic methods for generalized Poisson regression (GPR) models with errors in variables based on the corrected likelihood. The one-step approximations of the estimates in the case-deletion model are given and case-deletion and local influence measures are presented.
Feng-Chang Xie, Bo-Cheng Wei
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FOOD INSECURITY AND EDUCATIONAL ACHIEVEMENT: A MULTI-LEVEL GENERALIZATION OF POISSON REGRESSION
2013This research examined the relationship between food insecurity, the National School Lunch Program (NSLP), and academic achievement in Georgia’s public school system. Georgia is located in the southern U.S. states, where food insecurity has been particularly prevalent.
Ames, Allison Jennifer +7 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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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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Ratio estimation via Poisson regression and Generalized Estimating Equations
Statistics & Probability Letters, 2008In this article, we show that ratio estimates, and their asymptotic variances can be correctly obtained from a Poisson regression with appropriately chosen link function and Generalized Estimating Equation techniques. The sandwich estimator of variance is shown to be algebraically equal to the usual asymptotic variance obtained by considering a Taylor ...
Jorge G. Morel, Nagaraj K. Neerchal
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Modeling poverty rates with generalized Poisson regression
AIP Conference Proceedings, 2022Dian Handayani +5 more
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