IJPAM: Volume 95, No. 1 (2014)
THE GENERALIZED HYPERGEOMETRIC DISTRIBUTION
Department of Mathematics
Faculty of Science
Chonburi, 20131, THAILAND
Abstract. This paper uses Stein's method and the -function associated with the generalized hypergeometric random variable to determine a bound for the total variation distance between the generalized hypergeometric distribution with parameters , and and the negative binomial distribution with parameters and . In view of this bound, it is observed that the desired result gives a good negative binomial approximation when is large.
Received: April 23, 2014
AMS Subject Classification: 62E17, 60F05
Key Words and Phrases: generalized hypergeometric distribution, negative binomial approximation, total variation distance, Stein's method
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DOI: 10.12732/ijpam.v95i1.11 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 99 - 103