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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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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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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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Markov-switching Poisson generalized autoregressive conditional heteroscedastic models
Statistics and Its Interface, 2023We consider a kind of regime-switching autoregressive models for nonnegative integer-valued time series when the conditional distribution given historical information is Poisson distribution. In this type of models the link between the conditional variance (i.e.
Liu, Jichun +3 more
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On generalizing the Two-Poisson Model
Journal of the American Society for Information Science, 1990Utilisation des modeles de Poisson dans l'analyse de l'efficacite d'une indexation.
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A generalized Poisson-gamma model for spatially overdispersed data
Spatial and Spatio-temporal Epidemiology, 2012Modern disease mapping commonly uses hierarchical Bayesian methods to model overdispersion and spatial correlation. Classical random-effects based solutions include the Poisson-gamma model, which uses the conjugacy between the Poisson and gamma distributions, but which does not model spatial correlation, on the one hand, and the more advanced CAR model,
Thomas, Neyens +2 more
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Estimating Frailty Models via Poisson Hierarchical Generalized Linear Models
Journal of Computational and Graphical Statistics, 2003Frailty models extend proportional hazards models to multivariate survival data. Hierarchical-likelihood provides a simple unified framework for various random effect models such as hierarchical generalized linear models, frailty models, and mixed linear models with censoring.
Il Do Ha, Youngjo Lee
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On Some Shock Models with Poisson and Generalized Poisson Shock Processes
2017We consider systems subject to shocks that follow the generalized Polya process (GPP), which has been recently introduced and characterized in the literature. Distinct from the nonhomogeneous Poisson process that has been widely used in applications, the important feature of this process is the dependence of its future behaviour on the number of ...
Ji Hwan Cha, Maxim Finkelstein
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Log-normal frailty models fitted as Poisson generalized linear mixed models
Computer Methods and Programs in Biomedicine, 2016The equivalence of a survival model with a piecewise constant baseline hazard function and a Poisson regression model has been known since decades. As shown in recent studies, this equivalence carries over to clustered survival data: A frailty model with a log-normal frailty term can be interpreted and estimated as a generalized linear mixed model with
Katharina, Hirsch +2 more
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Some Chance Mechanisms Generating the Generalized Poisson Probability Models
1987A new generalization of the discrete Poisson distribution was introduced by Consul and Jain (1970, 1973) and studied by Charalambides (1974), Kumar and Consul (1979), Janardan and Schaeffer (1977), Janardan el al. (1979), Consul and Shoukri (1984, 1985), and many others.
M. M. Shoukri, P. C. Consul
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