IJPAM: Volume 91, No. 3 (2014)
THE NEGATIVE BINOMIAL DISTRIBUTION
Department of Mathematics
Faculty of Science
Chonburi, 20131, THAILAND
Abstract. This paper gives an improved Poisson distribution with mean for approximating the negative binomial distribution with parameters and , where . The improved approximation is more appropriate than the well-known Poisson approximation when is sufficiently large and 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