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On Some Shock Models with Poisson and Generalized Poisson Shock Processes

2017
We 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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Generalized poisson models arising from Markov processes

Statistics & Probability Letters, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bosch, Ronald J., Ryan, Louise M.
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General mixed Poisson regression models with varying dispersion

Statistics and Computing, 2015
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Wagner Barreto-Souza, Alexandre B. Simas
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A study of Poisson query generation model for information retrieval

Proceedings of the 30th annual international ACM SIGIR conference on Research and development in information retrieval, 2007
Many variants of language models have been proposed for information retrieval. Most existing models are based on multinomial distribution and would score documents based on query likelihood computed based on a query generation probabilistic model. In this paper, we propose and study a new family of query generation models based on Poisson distribution.
Qiaozhu Mei   +2 more
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Modelling of filariasis in East Java with Poisson regression and generalized Poisson regression models

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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A Comparison of Generalized Poisson Distribution for Modeling Chromosome Aberrations

Biometrical Journal, 1996
AbstractVarious models have been developed for modeling the distribution of chromosome aberrations in the literature (e. g. Consul, 1989). Generalized Poisson distribution is among the popular ones. The parameters of this distribution provide meaningful interpretation of the induction mechanism of the chromosome aberrations.
Lee, Carl M.-S., Famoye, Felix
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Robust estimation in the generalized poisson model

Statistics, 2004
A computationally simple method of robust estimation in the generalized Poisson model is presented. Estimators are proved to be optimal in the sense of local minimax testing, conditionally on the explanatory variable. Results of a Monte Carlo experiment are supplemented where robust and efficient estimators are compared.
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A generalized Poisson-gamma model for spatially overdispersed data

Spatial and Spatio-temporal Epidemiology, 2012
Modern 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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A Multivariate Generalized Poisson Regression Model

Communications in Statistics - Theory and Methods, 2014
A 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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A rich family of generalized Poisson regression models with applications

Mathematics and Computers in Simulation, 2005
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Sejong Bae   +4 more
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