# 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 and for approximating the negative hypergeometric distribution with parameters , and , where . The improved approximation is more accurate than the binomial approximation when 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