Note on complete convergence and complete moment convergence for negatively dependent random variables under sub-linear expectations
In this article, we study the complete convergence and the complete moment convergence for negatively dependent (ND) random variables under sub-linear expectations. Under proper conditions of the moment of random variables, we establish the complete convergence and the complete moment convergence. A...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-02-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023428?viewType=HTML |
| _version_ | 1797902160584769536 |
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| author | Mingzhou Xu Xuhang Kong |
| author_facet | Mingzhou Xu Xuhang Kong |
| author_sort | Mingzhou Xu |
| collection | DOAJ |
| description | In this article, we study the complete convergence and the complete moment convergence for negatively dependent (ND) random variables under sub-linear expectations. Under proper conditions of the moment of random variables, we establish the complete convergence and the complete moment convergence. As applications, we obtain the Marcinkiewcz-Zygmund type strong law of large numbers of ND random variables under sub-linear expectations. The results here generalize the corresponding ones in classic probability space to those under sub-linear expectations. |
| first_indexed | 2024-04-10T09:13:24Z |
| format | Article |
| id | doaj.art-a7dd416259b940ae8a7fe24974469570 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-10T09:13:24Z |
| publishDate | 2023-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-a7dd416259b940ae8a7fe249744695702023-02-21T01:01:49ZengAIMS PressAIMS Mathematics2473-69882023-02-01848504852110.3934/math.2023428Note on complete convergence and complete moment convergence for negatively dependent random variables under sub-linear expectationsMingzhou Xu0Xuhang Kong1School of Information Engineering, Jingdezhen Ceramic University, Jingdezhen 333403, ChinaSchool of Information Engineering, Jingdezhen Ceramic University, Jingdezhen 333403, ChinaIn this article, we study the complete convergence and the complete moment convergence for negatively dependent (ND) random variables under sub-linear expectations. Under proper conditions of the moment of random variables, we establish the complete convergence and the complete moment convergence. As applications, we obtain the Marcinkiewcz-Zygmund type strong law of large numbers of ND random variables under sub-linear expectations. The results here generalize the corresponding ones in classic probability space to those under sub-linear expectations.https://www.aimspress.com/article/doi/10.3934/math.2023428?viewType=HTMLnegatively dependent random variablescomplete convergencecomplete moment convergencesub-linear expectations |
| spellingShingle | Mingzhou Xu Xuhang Kong Note on complete convergence and complete moment convergence for negatively dependent random variables under sub-linear expectations AIMS Mathematics negatively dependent random variables complete convergence complete moment convergence sub-linear expectations |
| title | Note on complete convergence and complete moment convergence for negatively dependent random variables under sub-linear expectations |
| title_full | Note on complete convergence and complete moment convergence for negatively dependent random variables under sub-linear expectations |
| title_fullStr | Note on complete convergence and complete moment convergence for negatively dependent random variables under sub-linear expectations |
| title_full_unstemmed | Note on complete convergence and complete moment convergence for negatively dependent random variables under sub-linear expectations |
| title_short | Note on complete convergence and complete moment convergence for negatively dependent random variables under sub-linear expectations |
| title_sort | note on complete convergence and complete moment convergence for negatively dependent random variables under sub linear expectations |
| topic | negatively dependent random variables complete convergence complete moment convergence sub-linear expectations |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023428?viewType=HTML |
| work_keys_str_mv | AT mingzhouxu noteoncompleteconvergenceandcompletemomentconvergencefornegativelydependentrandomvariablesundersublinearexpectations AT xuhangkong noteoncompleteconvergenceandcompletemomentconvergencefornegativelydependentrandomvariablesundersublinearexpectations |