A Generalization of the Hypergeometric Distribution

Abstract

In this paper we introduce a modification of the hypergeometric distribution that caters for the case when the sampling scheme favours the inclusion of units of one of the two types involved, as opposed to the hypergeometric distribution under which all samples are equally likely. The properties of the resulting distribution, termed the generalized hypergeometric, are studied, including the derivation and numerical assessment of a normal approximation of the distribution.

Keywords

• Hypergeometric Distribution
• Recurrence Relations
• Normal Approximation.