A weak law of large numbers and Poisson approximation problem for extension random sums of m-dependent random variables

Le Truong Giang * and Trinh Huu Nghiem

* Corresponding author (ltgiang@ufm.edu.vn)

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Received: 21 Jun 2018
Revised: 15 Sep 2018
Accepted: 29 Mar 2019
Published: 30 Mar 2019
DOI: 10.22144/ctu.jen.2019.014
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How to Cite
Le, T. G., & Trinh, H. N. (2019). A weak law of large numbers and Poisson approximation problem for extension random sums of m-dependent random variables. CTU Journal of Innovation and Sustainable Development , 11(1), 100-103. https://doi.org/10.22144/ctu.jen.2019.014
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Vol. 11 No. 1 (2019)

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Abstract

In probability theory, Limit theorems are often considered for independent random variables. These results have been applied in many fields. 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

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References

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