# IJPAM: Volume 87, No. 4 (2013)

A NON-UNIFORM BOUND ON THE POINT METRIC OF
POISSON BINOMIAL AND BINOMIAL DISTRIBUTIONS

K. Teerapabolarn
Department of Mathematics
Faculty of Science
Burapha University
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.

AMS Subject Classification: 62E17, 60F05, 60G50

Key Words and Phrases: binomial distribution, non-uniform bound, Poisson binomial distribution, point metric, Stein's method