SCIENCE ASIA

Volume 47, No. 01, Month FEBRUARY, Year 2021, Pages 111 - 116

A local limit theorem for poisson binomial random variables

Tatpon Siripraparat, Kritsana Neammanee

Abstract Download PDF

We investigate the local limit theorem for Poisson binomial random variables Sn := Pn i=1 Xi, where X1, X2,. .. , Xn are independent Bernoulli random variables. Using the idea from Neammanee [Int J Math Math Sci 5 (2005):717?728], we derive improved explicit bounds for the density of Sn.

Keywords

Poisson binomial random variable, local limit theorem, normal density function

---