Useful moment and CDF formulations for the COM-Poisson distribution

DOI10.1007/s00362-007-0089-9zbMath1312.62022OpenAlexW2060111471MaRDI QIDQ841004

Saralees Nadarajah

Publication date: 14 September 2009

Published in: Statistical Papers (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00362-007-0089-9

zbMATH Keywords

momentsPoisson distributiongeneralized hypergeometric functioncumulative distribution function

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Probability distributions: general theory (60E05)

Related Items (15)

The Conway–Maxwell–Poisson-generalized gamma regression model with long-term survivors ⋮ Integral form of the COM-Poisson renormalization constant ⋮ Estimation methods for a flexible INAR(1) COM-Poisson time series model ⋮ Some characterizations and properties of COM-Poisson random variables ⋮ Integral form of Le Roy-type hypergeometric function ⋮ Modeling time series of counts with COM-Poisson INGARCH models ⋮ Type I multivariate zero‐inflated COM–Poisson regression model ⋮ Multivariate Conway-Maxwell-Poisson Distribution: Sarmanov Method and Doubly Intractable Bayesian Inference ⋮ Uncertainty estimation in heterogeneous capture–recapture count data ⋮ A Bayesian analysis of the Conway-Maxwell-Poisson cure rate model ⋮ Modelling with dispersed bivariate moving average processes ⋮ An asymptotic expansion for the normalizing constant of the Conway-Maxwell-Poisson distribution ⋮ Modeling longitudinal INMA(1) with COM-Poisson innovation under non-stationarity: application to medical data ⋮ The COM‐Poisson model for count data: a survey of methods and applications ⋮ A COM-Poisson-type generalization of the negative binomial distribution

Cites Work

• A Useful Distribution for Fitting Discrete Data: Revival of the Conway–Maxwell–Poisson Distribution
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