Article info.

ABSTRACT

Received 21 Jun 2018
Revised 15 Sep 2018

Accepted 29 Mar 2019

In probability theory, Limit theorems applied in many fields are often considered for independent random variables. However, there are several studied models presented that random variables depend on each other. The aim of current paper is to study an extension of random sums of m-dependent random variables. Weak law of large numbers and Poisson approximation problem for random sums are established. The received results are extensions and generalizations of some known results.

Keywords

Limit theorems, m-dependent, Poisson approximation, random sums, weak law of large numbers

Cited as: Giang, L.T. and Nghiem, T.H., 2019. A weak law of large numbers and Poisson approximation problem for extension random sums of m-dependent random variables. Can Tho University Journal of Science. 11(1): 100-103.