Mixed poisson distributions

D Karlis, E Xekalaki - … Statistical Review/Revue Internationale de Statistique, 2005 - JSTOR
Mixed Poisson distributions have been used in a wide range of scientific fields for modeling
non homogeneous populations. This paper aims at reviewing the existing literature on …

EM algorithm for mixed Poisson and other discrete distributions

D Karlis - ASTIN Bulletin: The Journal of the IAA, 2005 - cambridge.org
Mixed Poisson distributions are widely used in various disciplines including actuarial
applications. The family of mixed Poisson distributions contains several members according …

A new count model generated from mixed Poisson transmuted exponential family with an application to health care data

D Bhati, P Kumawat… - … in Statistics-Theory and …, 2017 - Taylor & Francis
In this article, a new mixed Poisson distribution is introduced. This new distribution is
obtained by utilizing mixing process, with Poisson distribution as mixed distribution and …

Analysis of long-tailed count data by Poisson mixtures

RC Gupta, SH Ong - Communications in statistics—Theory and …, 2005 - Taylor & Francis
This article deals with various mixed Poisson distributions in order to analyze count data
characterized by their long tails and over dispersion when the Poisson distribution and …

A new generalization of the negative binomial distribution

RC Gupta, SH Ong - Computational statistics & data analysis, 2004 - Elsevier
In this paper, we obtain a new generalization of the negative binomial distribution (NBD) by
mixing the mean of the Poisson distribution with a generalized gamma distribution proposed …

[PDF][PDF] Recent developments in mixed Poisson distributions

SH Ong, YC Low, KK Toh - Computational Statistics and Data …, 2019 - academia.edu
Mixed Poisson distributions are a class of distributions arising from the Poisson mean
fluctuating as a random variable. Mixed Poisson distributions have been applied in diverse …

A COM-Poisson-type generalization of the negative binomial distribution

S Chakraborty, SH Ong - Communications in Statistics-Theory and …, 2016 - Taylor & Francis
This paper introduces a generalization of the negative binomial (NB) distribution in analogy
with the COM-Poisson distribution. Many well-known distributions are particular and limiting …

A bivariate generalization of the noncentral negative binomial distribution

SH Ong, CM Ng - Communications in Statistics-Simulation and …, 2013 - Taylor & Francis
This article proposes a bivariate generalization of the noncentral negative binomial
distribution which arises as a model in photon and neural counting. This bivariate …

A class of discrete distributions suited to fitting very long-tailed data

SH Ong, S Muthaloo - Communications in Statistics-Simulation and …, 1995 - Taylor & Francis
This paper proposes a mixed Poisson distribution which has a very long tail and also
examines the full beta model of Kempton (Biometrika, 1975). The proposed distribution has …

Generalized Sichel distribution and associated inference

YC Low, SH Ong, RC Gupta - Journal of Statistical Theory and …, 2017 - Springer
In this paper, we propose a generalized form of Sichel distribution which is obtained by
mixing the Poisson distribution with the extended generalized inverse Gaussian distribution …