AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (266.4 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Complete convergence and complete integral convergence of partial sums for moving average process under sub-linear expectations

Xiaocong Chen, Qunying Wu( )
College of Science, Guilin University of Technology, Guilin 541006, China
Show Author Information

Abstract

In this paper, we establish the complete convergence and complete integral convergence of partial sums for moving average process based on independent random variables under the sub-linear expectations. The results in the paper extend some convergence properties of moving average process under independent assumption from probability space to the sub-linear expectation space.

Keywords

moving average processcomplete integral convergencecomplete convergenceindependent random variablessub-linear expectation
CLC number: 60F15

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 7 Issue 6,
June 2022
Pages 9694-9715
DOI: 10.3934/math.2022540

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Chen X, Wu Q. Complete convergence and complete integral convergence of partial sums for moving average process under sub-linear expectations. AIMS Mathematics, 2022, 7(6): 9694-9715. https://doi.org/10.3934/math.2022540

0

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 25 December 2021
Revised: 28 February 2022
Accepted: 08 March 2022
Published: 15 June 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)