IJPAM: Volume 93, No. 5 (2014)

AN IMPROVED NEGATIVE BINOMIAL TO
APPROXIMATE THE PÓLYA DISTRIBUTION

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


Abstract. This paper gives an improved negative binomial distribution with parameters $r$ and $p$ to approximate the Pólya distribution with parameters $N$, $m$ and $r$, where $p=1-q=\frac{N}{N+m}$. The improved approximation is more accurate than the negative binomial approximation when $N$ is sufficiently large.

Received: December 25, 2013

AMS Subject Classification: 62E17, 60F05

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

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DOI: 10.12732/ijpam.v93i5.3 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: 93
Issue: 5
Pages: 625 - 628

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).