IJPAM: Volume 93, No. 6 (2014)
NEGATIVE BINOMIAL RANDOM VARIABLES
Department of Mathematics
Faculty of Science
Chonburi, 20131, THAILAND
Abstract. We give a bound for the total variation distance between the distribution of a sum of independent negative binomial random variables and an appropriate Poisson distribution with mean , where and are parameters of each negative binomial distribution. It is indicated that the distribution of the sum can be approximated by the Poisson distribution with this mean when each is small.
Received: December 25, 2013
AMS Subject Classification: 62E17, 60F05, 60G50
Key Words and Phrases: negative binomial distribution, Poisson distribution, Poisson approximation, -function
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DOI: 10.12732/ijpam.v93i6.2 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 779 - 781
This work is licensed under the Creative Commons Attribution International License (CC BY).