IJPAM: Volume 91, No. 1 (2014)

AN IMPROVED BINOMIAL DISTRIBUTION
TO APPROXIMATE THE NEGATIVE
HYPERGEOMETRIC DISTRIBUTION

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


Abstract. The aim of this paper is to give an improved binomial distribution with parameters $S$ and $p$ for approximating the negative hypergeometric distribution with parameters $R$, $S$ and $r$, where $p=1-q=\frac{r}{R+1}$. The improved approximation is more accurate than the binomial approximation when $\frac{S}{R}$ is sufficiently small.

Received: November 22, 2013

AMS Subject Classification: 62E17, 60F05

Key Words and Phrases: binomial approximation, binomial probability function, negative hypergeometric probability function

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DOI: 10.12732/ijpam.v91i1.8 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: 91
Issue: 1