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A COM-Poisson-type generalization of the negative binomial distribution
Communications in Statistics - Theory and Methods, 2016ABSTRACTThis 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 distributions. The proposed distribution belongs to the modified power series, generalized hypergeometric and exponential families, and also arises as weighted ...
S. Chakraborty, S. H. Ong
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Annals of the Institute of Statistical Mathematics, 2003
In this paper, we investigate the exact distribution of the waiting time for ther-th l-overlapping occurrence of success-runs of a specified length in a sequence of two state Markov dependent trials. The probability generating functions are derived explicitly, and as asymptotic results, relationships of a negative binomial distribution of orderk and an
Kiyoshi Inoue, Sigeo Aki
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In this paper, we investigate the exact distribution of the waiting time for ther-th l-overlapping occurrence of success-runs of a specified length in a sequence of two state Markov dependent trials. The probability generating functions are derived explicitly, and as asymptotic results, relationships of a negative binomial distribution of orderk and an
Kiyoshi Inoue, Sigeo Aki
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A generalized Conway–Maxwell–Poisson distribution which includes the negative binomial distribution
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Some Remarks on Generalizations of the Negative Binomial and Poisson Distributions
Technometrics, 1975Restrictions on the selection of the parameters of the generalized negative binomial and generalized Poisson distributions are described.
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Bivariate Negative Binomial Generalized Linear Models for Environmental Count Data
Journal of Applied Statistics, 2006Hiroe Tsubaki
exaly

