IJPAM: Volume 83, No. 4 (2013)

BINOMIAL APPROXIMATION TO
THE GENERALIZED HYPERGEOMETRIC DISTRIBUTION

K. Teerapabolarn
Department of Mathematics
Faculty of Science
Burapha University
Chonburi, 20131, THAILAND


Abstract. In this paper, we use Stein's method and the w-function associated with the generalized hypergeometric random variable to give a bound for the total variation distance between the binomial and generalized hypergeometric distributions.

Received: November 5, 2012

AMS Subject Classification: 62E17, 60F05

Key Words and Phrases: binomial approximation, generalized hypergeometric distribution, total variation distance, Stein's method

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DOI: 10.12732/ijpam.v83i4.4 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 83
Issue: 4