IJPAM: Volume 95, No. 3 (2014)

POINTWISE 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 the result in [#!KP!#] and the $w$-function associated with the generalized hypergeometric random variable to give a pointwise bound for the point metric between the generalized hypergeometric distribution with parameters $\alpha$, $\beta$ and $N$ and the binomial distribution with parameters $n=N-1$ and $p=1-q=\frac{\beta+1}{\alpha+\beta+2}$. With this bound, it is observed that the desired result gives a good binomial approximation when $\alpha$ is sufficiently large.

Received: April 23, 2014

AMS Subject Classification: 62E17, 60F05

Key Words and Phrases: binomial approximation, generalized hypergeometric distribution, point metric

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DOI: 10.12732/ijpam.v95i3.7 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: 2014
Volume: 95
Issue: 3
Pages: 401 - 403


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