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

DOI10.1080/03610926.2014.917184zbMath1346.62021OpenAlexW2339657944MaRDI QIDQ2816861

No author found.

Publication date: 26 August 2016

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2014.917184

zbMATH Keywords

reliabilityexponential familiesstochastic orderingunimodalitylog-concavityCOM-Poissonindex of dispersionincreasing failure rateweighted distributionunderdispersionempirical modelinggeneralized hypergeometricequi- and over-dispersionmodified power series

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Parametric hypothesis testing (62F03) Exact distribution theory in statistics (62E15) Reliability and life testing (62N05)

Related Items

Extended Conway-Maxwell-Poisson distribution and its properties and applications ⋮ A multilevel zero-inflated Conway–Maxwell type negative binomial model for analysing clustered count data ⋮ On uniform-negative binomial distribution including Gauss hypergeometric function and its application in count regression modeling ⋮ Mittag-Leffler function distribution -- a new generalization of hyper-Poisson distribution ⋮ Uncertainty estimation in heterogeneous capture–recapture count data ⋮ A Conway-Maxwell-multinomial distribution for flexible modeling of clustered categorical data ⋮ COM-negative binomial distribution: modeling overdispersion and ultrahigh zero-inflated count data

Cites Work

• Unnamed Item
• Unnamed Item
• A Bayesian analysis of the Conway-Maxwell-Poisson cure rate model
• Useful moment and CDF formulations for the COM-Poisson distribution
• Stochastic orders
• On the monotonic properties of discrete failure rates
• The exponential COM-Poisson distribution
• COM-Poisson cure rate survival models and an application to cutaneous melanoma data
• A COM-Poisson type generalization of the binomial distribution and its properties and applications
• Log-concave probability and its applications
• Generalizations of Non Central Negative Binomial, Charlier Series Distributions, and Their Extensions by Lagrange Expansion
• A Family Which Integrates the Generalized Charlier Series and Extended Noncentral Negative Binomial Distributions
• Model Selection and Multimodel Inference
• Analysis of Long-Tailed Count Data by Poisson Mixtures
• Some Integrals of the products of laguerre polynomials
• Stochastic orders in partition and random testing of software
• Computation of probabilities of a generalized log-series and related distributions
• A class of discrete distributions suited to fitting very long-tailed data
• Univariate Discrete Distributions
• A Useful Distribution for Fitting Discrete Data: Revival of the Conway–Maxwell–Poisson Distribution