IJPAM: Volume 85, No. 1 (2013)
AN IMPROVED BOUND ON
THE POISSON-NEGATIVE BINOMIAL ERROR
THE POISSON-NEGATIVE BINOMIAL ERROR
K. Teerapabolarn
Department of Mathematics
Faculty of Science
Burapha University
Chonburi, 20131, THAILAND
Department of Mathematics
Faculty of Science
Burapha University
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 [8].
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
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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
Year: 2013
Volume: 85
Issue: 1
