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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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Estimation in the Generalized Poisson Model via Robust Testing
Metrika, 2002An estimation method is presented which compromises robust efficiency with computational feasibility in the case of the generalized Poisson model. The formal setup is built on flexible nonparametric extensions of the underlying model. The estimation efficiency is expressed via minimax properties of tests resulting from expansions of estimators.
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The Poisson Generalized Linear Failure Rate Model
Communications in Statistics - Theory and Methods, 2013We formulate a new cure rate survival model by assuming that the number of competing causes of the event of interest has the Poisson distribution, and the time to this event has the generalized linear failure rate distribution. A new distribution to analyze lifetime data is defined from the proposed cure rate model, and its quantile function as well as
Gauss M. Cordeiro +2 more
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Estimation of the Characteristics of the Jumps of a General Poisson-Diffusion Model
Scandinavian Actuarial Journal, 2004We consider a filtered probability space with a standard Brownian motion W, a simple Poisson process N with constant intensity λ>0, and we consider the process Y such that Y 0∈ℝ and where a, σ are predictable bounded stochastic processes, and γ is a predictable process which is bounded away from zero. A discrete record of n+1 observations {Y 0, Y t 1 ,
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On Periodic Generalized Poisson INAR(1) Model
Communications in Statistics - Simulation and Computation, 2023Mohamed Bentarzi, Roufaida Souakri
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Generalized Poisson Models and their Applications in Insurance and Finance
2002Basic notions of probability theory random variables, their distributions and moments generating and characteristic functions random vectors stochastic independence weak convergence of random variables and distribution functions Poisson theorem law of large numbers central limit theorem stable laws the Berry-Esseen inequality asymptotic expansions in ...
Vladimir E. Bening, Victor Yu. Korolev
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On some models leading to the generalized poisson distribution
Communications in Statistics - Theory and Methods, 1988A new generalization of the Poisson distribution was given by Consul and Jain (1970, 73). Since then more than twenty papers, written by various researchers, have appeared on this model under the titles of Generalized Poisson Distribution (GPD), Lagrangian Poisson distribution or modified power series distribution. Here the author provides two physical
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A mixed generalized Poisson INAR model with applications
Journal of Statistical Computation and Simulation, 2023Dianliang Deng, Fukang Zhu
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A score test for overdispersion in Poisson regression based on the generalized Poisson-2 model
Journal of Statistical Planning and Inference, 2009James W Hardin, Zhao Yang
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Score Test for Zero Inflated Generalized Poisson Regression Model
Communications in Statistics - Theory and Methods, 2005Ramesh Gupta, Ram C Tripathi
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