Equivalent Conditions of Complete p-th Moment Convergence for Weighted Sum of ND Random Variables under Sublinear Expectation Space
We investigate the complete convergence for weighted sums of sequences of negative dependence (ND) random variables and p-th moment convergence for weighted sums of sequences of ND random variables under sublinear expectation space. Using moment inequality and truncation methods, we prove the equiva...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-08-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/16/3494 |
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| author | Peiyu Sun Dehui Wang Xili Tan |
| author_facet | Peiyu Sun Dehui Wang Xili Tan |
| author_sort | Peiyu Sun |
| collection | DOAJ |
| description | We investigate the complete convergence for weighted sums of sequences of negative dependence (ND) random variables and p-th moment convergence for weighted sums of sequences of ND random variables under sublinear expectation space. Using moment inequality and truncation methods, we prove the equivalent conditions of complete convergence for weighted sums of sequences of ND random variables and p-th moment convergence for weighted sums of sequences of ND random variables under sublinear expectation space. |
| first_indexed | 2024-03-10T23:45:16Z |
| format | Article |
| id | doaj.art-1f4dbc95329342a19af2a69e99a126fa |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T23:45:16Z |
| publishDate | 2023-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-1f4dbc95329342a19af2a69e99a126fa2023-11-19T02:02:47ZengMDPI AGMathematics2227-73902023-08-011116349410.3390/math11163494Equivalent Conditions of Complete p-th Moment Convergence for Weighted Sum of ND Random Variables under Sublinear Expectation SpacePeiyu Sun0Dehui Wang1Xili Tan2School of Mathematics, Jilin University, Changchun 130012, ChinaSchool of Mathematics and Statistics, Liaoning University, Shenyang 110031, ChinaSchool of Mathematics and Statistics, Beihua University, Jilin 132013, ChinaWe investigate the complete convergence for weighted sums of sequences of negative dependence (ND) random variables and p-th moment convergence for weighted sums of sequences of ND random variables under sublinear expectation space. Using moment inequality and truncation methods, we prove the equivalent conditions of complete convergence for weighted sums of sequences of ND random variables and p-th moment convergence for weighted sums of sequences of ND random variables under sublinear expectation space.https://www.mdpi.com/2227-7390/11/16/3494complete convergenceND random variablessublinear expectation space |
| spellingShingle | Peiyu Sun Dehui Wang Xili Tan Equivalent Conditions of Complete p-th Moment Convergence for Weighted Sum of ND Random Variables under Sublinear Expectation Space Mathematics complete convergence ND random variables sublinear expectation space |
| title | Equivalent Conditions of Complete p-th Moment Convergence for Weighted Sum of ND Random Variables under Sublinear Expectation Space |
| title_full | Equivalent Conditions of Complete p-th Moment Convergence for Weighted Sum of ND Random Variables under Sublinear Expectation Space |
| title_fullStr | Equivalent Conditions of Complete p-th Moment Convergence for Weighted Sum of ND Random Variables under Sublinear Expectation Space |
| title_full_unstemmed | Equivalent Conditions of Complete p-th Moment Convergence for Weighted Sum of ND Random Variables under Sublinear Expectation Space |
| title_short | Equivalent Conditions of Complete p-th Moment Convergence for Weighted Sum of ND Random Variables under Sublinear Expectation Space |
| title_sort | equivalent conditions of complete p th moment convergence for weighted sum of nd random variables under sublinear expectation space |
| topic | complete convergence ND random variables sublinear expectation space |
| url | https://www.mdpi.com/2227-7390/11/16/3494 |
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