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

Communications in Statistics - Theory and Methods, 2016
ABSTRACTThis 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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Generalized binomial and negative binomial distributions of orderk by thel-overlapping enumeration scheme

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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A generalized Conway–Maxwell–Poisson distribution which includes the negative binomial distribution

Applied Mathematics and Computation, 2014
zbMATH 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, 1975
Restrictions on the selection of the parameters of the generalized negative binomial and generalized Poisson distributions are described.
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The negative binomial-Lindley generalized linear model: Characteristics and application using crash data

Accident Analysis and Prevention, 2012
Srinivas Reddy Geedipally   +1 more
exaly  

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