Article info.

ABSTRACT

Received 11 Feb 2018
Revised 04 Jun 2018

Accepted 30 Nov 2018

The aim of this paper is to establish new bounds on Poisson approximation for random sums of independent negative-binomial random variables. The bounds showed in current paper are a uniform bound and a non-uniform bound. The received results in this paper are extensions and generalizations of known results.

Keywords

Negative - binomial variable, Poisson approximation, random sums, total variation distance, uniform and non-uniform bound

Cited as: Giang, L.T. and Nghiem, T.H., 2018. New bounds on poisson approximation for random sums of independent negative-binomial randomvariables. Can Tho University Journal of Science. 54(8): 149-153.