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

A BOUND ON THE POISSON
BINOMIAL-POISSON RELATIVE ERROR

K. Teerapabolarn
Department of Mathematics
Faculty of Science
Burapha University
Chonburi, 20131, THAILAND

Abstract. We use the Stein-Chen method to determine a bound on the relative error between the Poisson binomial distribution function with parameter and the Poisson distribution function with mean . With this bound, the Poisson distribution function with this mean can be used as an estimate of the Poisson binomial distribution function whenever all are small.

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

Key Words and Phrases: distribution function, Poisson distribution, Poisson binomial distribution, relative error, Stein-Chen method