Bivariate Conway-Maxwell-Poisson distribution: formulation, properties, and inference

DOI10.1016/j.jmva.2016.04.007zbMath1346.60011OpenAlexW2415082772MaRDI QIDQ739592

Darcy Steeg Morris, Kimberly F. Sellers, Narayanaswamy Balakrishnan

Publication date: 18 August 2016

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmva.2016.04.007

zbMATH Keywords

dispersiondependencebivariate distributionConway-Maxwell-Poisson (COM-Poisson) distribution

Mathematics Subject Classification ID

Related Items (17)

Computing with bivariate COM-Poisson model under different copulas ⋮ Estimation methods for a flexible INAR(1) COM-Poisson time series model ⋮ BINMA(1) model with COM-Poisson innovations: Estimation and application ⋮ Multivariate discrete distributions via sums and shares ⋮ A multivariate Poisson model based on comonotonic shocks ⋮ Type I multivariate zero‐inflated COM–Poisson regression model ⋮ Analyzing longitudinal clustered count data with zero inflation: Marginal modeling using the Conway–Maxwell–Poisson distribution ⋮ A flexible distribution class for count data ⋮ Multivariate Conway-Maxwell-Poisson Distribution: Sarmanov Method and Doubly Intractable Bayesian Inference ⋮ A flexible bivariate distribution for count data expressing data dispersion ⋮ A Conway-Maxwell-multinomial distribution for flexible modeling of clustered categorical data ⋮ Underdispersion models: Models that are “under the radar” ⋮ Unnamed Item ⋮ Bivariate Conway-Maxwell Poisson distributions with given marginals and correlation ⋮ A BINAR(1) time-series model with cross-correlated COM–Poisson innovations ⋮ A \textit{type-1 imbalanced bivariate Poisson distribution} demystifies patient's phobia visiting physician often and its implications ⋮ Statistical inference for distributions with one Poisson conditional

Uses Software

• VGAM
• bivpois

Cites Work

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• A flexible regression model for count data
• Lognormal lifetimes and likelihood-based inference for flexible cure rate models based on COM-Poisson family
• Bivariate generalized Poisson distribution with some applications
• Type II bivariate Pólya-Aeppli distribution
• Approximating the Conway–Maxwell–Poisson distribution normalization constant
• A Family of Bivariate Distributions Generated by the Bivariate Bernoulli Distribution
• Modeling with Bivariate Geometric Distributions
• Estimation for the bivariate Poisson distribution
• A Multivariate Exponential Distribution
• A Useful Distribution for Fitting Discrete Data: Revival of the Conway–Maxwell–Poisson Distribution
• Note on a certain family of discrete distributions

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