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.

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