IJPAM: Volume 91, No. 2 (2014)

AN IMPROVED NEGATIVE BINOMIAL
DISTRIBUTION TO APPROXIMATE THE NEGATIVE
HYPERGEOMETRIC DISTRIBUTION

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


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

Received: November 22, 2013

AMS Subject Classification: 62E17, 60F05

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

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DOI: 10.12732/ijpam.v91i2.9 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: 2