IJPAM: Volume 91, No. 3 (2014)

AN IMPROVED POISSON TO APPROXIMATE
THE NEGATIVE BINOMIAL DISTRIBUTION

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


Abstract. This paper gives an improved Poisson distribution with mean $\lambda$ for approximating the negative binomial distribution with parameters $n$ and $p$, where $\lambda=nq=n(1-p)$. The improved approximation is more appropriate than the well-known Poisson approximation when $n$ is sufficiently large and $q$ is sufficiently small.

Received: November 22, 2013

AMS Subject Classification: 62E17, 60F05

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

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DOI: 10.12732/ijpam.v91i3.9 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: 3