Bivariate distributions generated from Pólya-Eggenberger urn models
type: Item
instance of: scholarly article
title: Bivariate distributions generated from Pólya-Eggenberger urn models
zbMATH Open document ID: 0711.62043
DOI: 10.1016/0047-259X(90)90015-A
published in: Journal of Multivariate Analysis
publication date: 1990-01-01T00:00:00Z
review text: The classical Pólya-Eggenberger urn model is generalized in three different ways which yields different bivariate distributions. Moments of these distributions are calculated and their limiting distributions are derived. These include binomial, negative binomial, Dirichlet, Poisson, Pareto and gamma distributions. Included into the paper is also a concise treatment of the univariate Pólya-Eggenberger distributions.
Mathematics Subject Classification ID: 62H10
Mathematics Subject Classification ID: 62E99
Mathematics Subject Classification ID: 60E05
Mathematics Subject Classification ID: 62E20
zbMATH DE Number: 4169877
zbMATH Keywords: empirical characteristic function
zbMATH Keywords: upper Fréchet bounds
zbMATH Keywords: associated random variables
zbMATH Keywords: Pólya-Eggenberger urn model
zbMATH Keywords: bivariate distributions
zbMATH Keywords: Moments
zbMATH Keywords: limiting distributions
zbMATH Keywords: binomial
zbMATH Keywords: negative binomial
zbMATH Keywords: Dirichlet
zbMATH Keywords: Poisson
zbMATH Keywords: Pareto
zbMATH Keywords: gamma distributions
author: Albert W. Marshall
author: Ingram Olkin
reviewed by: Claudia Klüppelberg
MaRDI profile type: Publication
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full work available at URL: 0047-259x(90)90015-a
OpenAlex ID: W2020762704
description: scientific article; zbMATH DE number 4169877