Bivariate non-central negative binomial distribution: Another generalisation
type: Item
instance of: scholarly article
title: Bivariate non-central negative binomial distribution: Another generalisation
zbMATH Open document ID: 0601.62068
DOI: 10.1007/BF01894724
author: B. George
published in: Metrika
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/176027
review text: This is a sequel of the paper reviewed above, Zbl 0601.62067, in the sense that it defines a fifth bivariate generalization of the non-central negative binomial distribution. This generalization is constructed as a latent structure model, as an extension of an accident proneness model and as a reversible stochastic counter model. Here, also, probabilities, moments, recurrence formulae, properties and an application of the distribution are given.
Mathematics Subject Classification ID: 62H10
Mathematics Subject Classification ID: 62E10
zbMATH DE Number: 3969906
zbMATH Keywords: compound correlated bivariate Poisson distribution
zbMATH Keywords: Gegenbauer distribution
zbMATH Keywords: estimation
zbMATH Keywords: bivariate generalization of the non-central negative binomial distribution
zbMATH Keywords: latent structure model
zbMATH Keywords: accident proneness model
zbMATH Keywords: reversible stochastic counter model
zbMATH Keywords: moments
zbMATH Keywords: recurrence formulae
reviewed by: John Panaretos
MaRDI profile type: Publication
cites work: Q4170993
cites work: A Class of Distributions Applicable to Accidents
cites work: Q5824493
cites work: Exploratory latent structure analysis using both identifiable and unidentifiable models
cites work: Estimation for the bivariate Poisson distribution
cites work: Bivariate generalizations of Neyman's Type A distribution
cites work: Uniqueness of a result in the theory of accident proneness
cites work: Q5580821
cites work: Q5517397
cites work: Q5827360
cites work: Q4197845
cites work: On Conditional Correlation Coefficients of a Wold Markov Process of Gamma Intervals
cites work: A stochastic process whose successive intervals between events form a first order Markov chain — I
cites work: A new bivariate negative binomial distribution
cites work: The Non-Central Negative Binomial Distribution
cites work: On the bivariate negative binomial distribution of mitchell and paulson
cites work: Some approximate results in renewal and dam theories
cites work: Three generalised negative Binomial Distributions
cites work: Q4766425
OpenAlex ID: W2059072686
description: scientific article; zbMATH DE number 3969906