IJPAM: Volume 85, No. 1 (2013)
THE POISSON-NEGATIVE BINOMIAL ERROR
Department of Mathematics
Faculty of Science
Chonburi, 20131, THAILAND
Abstract. The Stein-Chen method is used to obtain a new non-uniform bound on the error of the negative binomial cumulative distribution function with parameters n and p and the Poisson cumulative distribution function with mean n(1-p). The bound obtained in this study is sharper than those reported in .
Received: February 6, 2013
AMS Subject Classification: 62E17, 60F05
Key Words and Phrases: cumulative distribution function, negative binomial distribution, Poisson distribution, non-uniform bound, Stein-Chen method
Download paper from here.
DOI: 10.12732/ijpam.v85i1.12 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395