Bivariate distributions generated from Pólya-Eggenberger urn models
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.
scientific article; zbMATH DE number 4169877