A Bivariate Generalization of the Noncentral Negative Binomial Distribution

DOI10.1080/03610918.2011.636162zbMath1266.60019OpenAlexW2063286823MaRDI QIDQ4921580

Choung Min Ng, Seng Huat Ong

Publication date: 13 May 2013

Published in: Communications in Statistics - Simulation and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610918.2011.636162

zbMATH Keywords

parameter estimationprobability generating functionminimum distancegoodness of fitpositive quadrant dependencephoton countingbivariate negative binomiallow flux imagesmixture formulationmultivariate generalized Laguerre polynomials

Mathematics Subject Classification ID

Point estimation (62F10) Probability distributions: general theory (60E05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Applications of statistics to physics (62P35) Statistical distribution theory (62E99)

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Cites Work

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• A new generalization of the negative binomial distribution
• The bivariate non-central negative binomial distributions
• Bivariate non-central negative binomial distribution: Another generalisation
• Some notes on the non-central negative binomial distribution
• Probabilistic derivation of some generating functions for the Laguerre polynomials
• Identifiability of mixtures of exponential families
• Mixed Poisson Distributions
• On a generalized non-central negative binomial distribution
• The Non-Central Negative Binomial Distribution
• The computer generation of bivariate binomial variables with given marginals and correlation
• NEW WORK IN THE PROBABILISTIC THEORY OF SPECIAL FUNCTIONS
• On compounded bivariate poisson distributions
• Analysis of Long-Tailed Count Data by Poisson Mixtures
• Exploratory latent structure analysis using both identifiable and unidentifiable models
• Computation of probabilities of a generalized log-series and related distributions
• A class of discrete distributions suited to fitting very long-tailed data
• Parameter Estimation for Discrete Distributions by Generalized Hellinger-Type Divergence Based on Probability Generating Function
• Bivariate generalizations of Neyman's Type A distribution
• Probabilistic proof of a Hankel transform of Laguerre polynomials