Complete convergence for weighted sums of pairwise independent random variables-Reference-Cited by-同舟云学术

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Complete convergence for weighted sums of pairwise independent random variables

Published:2017-04-21 Issue:1 Volume:15 Page:467-476
ISSN:2391-5455
Container-title:Open Mathematics
language:
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Author:

Ge Li¹²,Liu Sanyang¹,Miao Yu³

Affiliation:

1. School of Mathematics and Statistics, Xidian University, Xi’an, 710071, China

2. School of Mathematical Sciences, Henan Institute of Science and Technology, Xinxiang, 453003, China

3. College of Mathematics and Information Science, Henan Normal University, Xinxiang, 453007, China

Abstract

Abstract In the present paper, we have established the complete convergence for weighted sums of pairwise independent random variables, from which the rate of convergence of moving average processes is deduced.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2017-0044/pdf

Reference62 articles.

1. More on complete convergence for arrays;Statist. Probab.Lett,2005

2. Complete moment convergence and complete convergence for weighted sums of NSD random variables;Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Math. RACSAM,2016

3. Further study of complete convergence for weighted sums of PNQD random variables;J. Inequal. Appl,2015

4. A note on complete convergence for arrays;Statist. Probab. Lett,1998

5. On complete convergence and the strong law of large numbers for pairwise independent random variables;Acta Math. Hungar,2014

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