The Conway-Maxwell-Poisson distribution: distributional theory and approximation

zbMath1342.60013arXiv1503.07012MaRDI QIDQ5739569

Robert E. Gaunt, Fraser Daly

Publication date: 19 July 2016

Full work available at URL: https://arxiv.org/abs/1503.07012

zbMATH Keywords

Stein's methodstochastic orderingConway-Maxwell-Poisson distributiondistributional theorydistributional transformsCMB distribution

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Central limit and other weak theorems (60F05) Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10)

Related Items (12)

Some characterizations and properties of COM-Poisson random variables ⋮ Efficient estimation of COM-Poisson regression and a generalized additive model ⋮ New zero-inflated regression models with a variant of censoring ⋮ Multivariate Conway-Maxwell-Poisson Distribution: Sarmanov Method and Doubly Intractable Bayesian Inference ⋮ Uniformly most powerful unbiased tests for the dispersion parameter of the Conway-Maxwell-Poisson distribution ⋮ A Flexible Univariate Autoregressive Time‐Series Model for Dispersed Count Data ⋮ Entropy of some discrete distributions ⋮ Unnamed Item ⋮ An asymptotic expansion for the normalizing constant of the Conway-Maxwell-Poisson distribution ⋮ Reparametrization of COM–Poisson regression models with applications in the analysis of experimental data ⋮ Discrete power distributions and inference using likelihood ⋮ When is the Conway-Maxwell-Poisson distribution infinitely divisible?

Uses Software

• DLMF

This page was built for publication: The Conway-Maxwell-Poisson distribution: distributional theory and approximation