Complete convergence and complete integral convergence of partial sums for moving average process under sub-linear expectations
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 indep...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-03-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022540?viewType=HTML |
| _version_ | 1818775336170553344 |
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| author | Xiaocong Chen Qunying Wu |
| author_facet | Xiaocong Chen Qunying Wu |
| author_sort | Xiaocong Chen |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-18T10:55:25Z |
| format | Article |
| id | doaj.art-201ae8957e5d4665a03a902d8308c46c |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-18T10:55:25Z |
| publishDate | 2022-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-201ae8957e5d4665a03a902d8308c46c2022-12-21T21:10:21ZengAIMS PressAIMS Mathematics2473-69882022-03-01769694971510.3934/math.2022540Complete convergence and complete integral convergence of partial sums for moving average process under sub-linear expectationsXiaocong Chen0Qunying Wu1College of Science, Guilin University of Technology, Guilin 541006, ChinaCollege of Science, Guilin University of Technology, Guilin 541006, ChinaIn 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.https://www.aimspress.com/article/doi/10.3934/math.2022540?viewType=HTMLmoving average processcomplete integral convergencecomplete convergenceindependent random variablessub-linear expectation |
| spellingShingle | Xiaocong Chen Qunying Wu Complete convergence and complete integral convergence of partial sums for moving average process under sub-linear expectations AIMS Mathematics moving average process complete integral convergence complete convergence independent random variables sub-linear expectation |
| title | Complete convergence and complete integral convergence of partial sums for moving average process under sub-linear expectations |
| title_full | Complete convergence and complete integral convergence of partial sums for moving average process under sub-linear expectations |
| title_fullStr | Complete convergence and complete integral convergence of partial sums for moving average process under sub-linear expectations |
| title_full_unstemmed | Complete convergence and complete integral convergence of partial sums for moving average process under sub-linear expectations |
| title_short | Complete convergence and complete integral convergence of partial sums for moving average process under sub-linear expectations |
| title_sort | complete convergence and complete integral convergence of partial sums for moving average process under sub linear expectations |
| topic | moving average process complete integral convergence complete convergence independent random variables sub-linear expectation |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022540?viewType=HTML |
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