IJPAM: Volume 87, No. 4 (2013)
POISSON BINOMIAL AND BINOMIAL DISTRIBUTIONS
Department of Mathematics
Faculty of Science
Chonburi, 20131, THAILAND
Abstract. We use Stein's method to determine a non-uniform bound on the point metric of the Poisson binomial distribution with parameter and the binomial distribution with parameters and , where is the integral part of and . The bound in this study is more appropriate for measuring the accuracy of the approximation.
Received: May 7, 2013
AMS Subject Classification: 62E17, 60F05, 60G50
Key Words and Phrases: binomial distribution, non-uniform bound, Poisson binomial distribution, point metric, Stein's method
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DOI: 10.12732/ijpam.v87i4.5 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395