Almost sure central limit theorems for m-dependent random variables

Author:

Miao Yu1,Xu Xiaoyan1

Affiliation:

1. College of Mathematics and Information Science, Henan Normal University, Henan Province, China

Abstract

In the present paper, the almost sure central limit theorem for them-dependent random sequence is established, which weakens the moment conditions of Giuliano [10] for the stationary m-dependent sequence and gets the same results with different methods.

Publisher

National Library of Serbia

Subject

General Mathematics

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On the almost sure central limit theorem for the elephant random walk;Journal of Physics A: Mathematical and Theoretical;2019-10-28

2. The almost sure local central limit theorem for products of partial sums under negative association;Journal of Inequalities and Applications;2018-10-10

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