IJPAM: Volume 90, No. 4 (2014)

AN IMPROVED BINOMIAL TO APPROXIMATE
THE HYPERGEOMETRIC DISTRIBUTION

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


Abstract. We give an improved binomial distribution with parameters n and p=m/N for approximating the hypergeometric distribution with parameters N, m and n. The improved approximation is more accurate than the binomial approximation when N is sufficiently large.

Received: November 22, 2013

AMS Subject Classification: 62E17, 60F05

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

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DOI: 10.12732/ijpam.v90i4.12 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: 90
Issue: 4