Sankhya: The Indian Journal of Statistics

1994, Volume 56, Series B, Pt. 3 , pp. 309--313

A NOTE ON THE GENERATING FUNCTION OF A NEGATIVE HYPERGEOMETRIC DISTRIBUTION

By

RASUL A. KHAN, *Cleveland State University*

SUMMARY. It is shown that the generating function of a negative hypergeometric distribution satisfies a certain differential equation which provides simple proofs of some limit distributions.

*AMS (1991) subject classification.* 62E15, 62E20.

*Key words and phrases.* Negative hypergeometric distribution, generating function, differential equation, limit distributions, negative binomial, Poisson and normal distributions.