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AIP Conference Proceedings, 2016
Poisson regression has been used if the response variable is count data that based on the Poisson distribution. The Poisson distribution assumed equal dispersion. In fact, a situation where count data are over dispersion or under dispersion so that Poisson regression inappropriate because it may underestimate the standard errors and overstate the ...
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Poisson regression has been used if the response variable is count data that based on the Poisson distribution. The Poisson distribution assumed equal dispersion. In fact, a situation where count data are over dispersion or under dispersion so that Poisson regression inappropriate because it may underestimate the standard errors and overstate the ...
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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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Analysis of Rates Using a Generalized Poisson Regression Model
Biometrical Journal, 1993AbstractIn this paper a generalization of the Poisson regression model indexed by a shape parameter is proposed for the analysis of life table and follow‐up data with concomitant variables. The model is suitable for analysis of extra‐Poisson variation data. The model is used to fit the survival data given in Holford (1980).
Karan P. Singh, Felix Famoye
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Score Test for Zero Inflated Generalized Poisson Regression Model
Communications in Statistics - Theory and Methods, 2005In certain applications involving count data, it is sometimes found that zeros are observed with a frequency significantly higher (lower) than predicted by the assumed model. Examples of such applications are cited in the literature from engineering, manufacturing, economics, public health, epidemiology, psychology, sociology, political science ...
Pushpa Lata Gupta +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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Journal of Applied Statistics, 2013
In several cases, count data often have excessive number of zero outcomes. This zero-inflated phenomenon is a specific cause of overdispersion, and zero-inflated Poisson regression model (ZIP) has been proposed for accommodating zero-inflated data. However, if the data continue to suggest additional overdispersion, zero-inflated negative binomial (ZINB)
Hossein Zamani, Noriszura Ismail
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In several cases, count data often have excessive number of zero outcomes. This zero-inflated phenomenon is a specific cause of overdispersion, and zero-inflated Poisson regression model (ZIP) has been proposed for accommodating zero-inflated data. However, if the data continue to suggest additional overdispersion, zero-inflated negative binomial (ZINB)
Hossein Zamani, Noriszura Ismail
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Functional Form for the Zero-Inflated Generalized Poisson Regression Model
Communications in Statistics - Theory and Methods, 2014The generalized Poisson (GP) regression is an increasingly popular approach for modeling overdispersed as well as underdispersed count data. Several parameterizations have been performed for the GP regression, and the two well known models, the GP-1 and the GP-2, have been applied.
Hossein Zamani, Noriszura Ismail
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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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Bivariate zero-inflated generalized Poisson regression model with flexible covariance
Communications in Statistics - Theory and Methods, 2017ABSTRACTThis paper introduces several forms of nested bivariate zero-inflated generalized Poisson (BZIGP) regression model which can be fitted to bivariate and zero-inflated count data. The main advantage of having several forms of BZIGP regression model is that they are nested and allow likelihood ratio test to be performed for choosing the best model.
Pouya Faroughi, Noriszura Ismail
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