An Urn Model Approach for Deriving Multivariate Generalized Hypergeometric Distributions

TL;DR

This paper introduces new multivariate generalized hypergeometric distributions derived from an urn model approach, simplifying the derivation process by avoiding hypergeometric series, and closely resembling classical distributions.

Contribution

The paper presents a novel urn model method for deriving multivariate generalized hypergeometric distributions, avoiding hypergeometric series used in previous approaches.

Findings

Distributions closely resemble classical multivariate hypergeometric distributions

Derivation method simplifies the process by avoiding hypergeometric series

Provides a new framework for multivariate distribution modeling

Abstract

We propose new generalized multivariate hypergeometric distributions, which extremely resemble the classical multivariate hypergeometric distributions. The proposed distributions are derived based on an urn model approach. In contrast to existing methods, this approach does not involve hypergeometric series.