Kanint Teerapabolarn

DOI: 10.14456/sjst-psu.2018.54

pp. 402 - 408

Abstract

The Stein-Chen method is usedto give new bounds, non-uniform bounds, for the distances between the distribution of a
sum of independent negative binomial random variables and a Poisson distribution with mean, ∑ⁿ_i=1 ^riqi –_pi

where r_i and p_i =1 - q_i are 
parameters of each negative binomial distribution. Results of this study are superior than those presented in Teerapabolarn (2014)
and Hung and Giang (2016).