A Discrete Distribution Arising as a Solution of a Linear Difference Equation: Extension of the Non Central Negative Binomial Distribution

DOI10.1080/03610920802326822zbMath1162.62006OpenAlexW2055261257MaRDI QIDQ3631421

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Publication date: 9 June 2009

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

Full work available at URL: http://www.informaworld.com/smpp/./content~db=all~content=a909855993

zbMATH Keywords

parameter estimationgoodness of fitcompoundmixedindex of dispersionweighted distributiongeneralized distributionsNNBDnon-central negative binomial distributionmixed Poisson and birth-death with immigration processes

Mathematics Subject Classification ID

Point estimation (62F10) Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10) Additive difference equations (39A10) Applications of hypergeometric functions (33C90)

Related Items (5)

Generalizations of Non Central Negative Binomial, Charlier Series Distributions, and Their Extensions by Lagrange Expansion ⋮ A Lagrangian Non Central Negative Binomial Distribution of the First Kind ⋮ Compound weighted Poisson distributions ⋮ The non-central negative binomial distribution: Further properties and applications ⋮ A Family Which Integrates the Generalized Charlier Series and Extended Noncentral Negative Binomial Distributions

Cites Work

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• The bivariate non-central negative binomial distributions
• Some notes on the non-central negative binomial distribution
• The generalized Charlier series distribution as a distribution with two-step recursion
• On discrete weighted distributions and their use in model choice for observed data
• On a generalized non-central negative binomial distribution
• The Non-Central Negative Binomial Distribution
• Computation of probabilities of a generalized log-series and related distributions
• A class of discrete distributions suited to fitting very long-tailed data
• The Confluent Hypergeometric Function
• Univariate Discrete Distributions

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