Convergence properties for coordinatewise asymptotically negatively associated random vectors in Hilbert space
In this work, the authors study some convergence results including weak law of large numbers, strong law of large numbers, complete convergence, and complete moment convergence for weighted sums of coordinatewise asymptotically negatively associated random vectors in Hilbert spaces. These results im...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2023-05-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2022-0556 |
| _version_ | 1797815448306188288 |
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| author | He Qihui Pan Lin |
| author_facet | He Qihui Pan Lin |
| author_sort | He Qihui |
| collection | DOAJ |
| description | In this work, the authors study some convergence results including weak law of large numbers, strong law of large numbers, complete convergence, and complete moment convergence for weighted sums of coordinatewise asymptotically negatively associated random vectors in Hilbert spaces. These results improve or extend some corresponding ones in the literature. |
| first_indexed | 2024-03-13T08:22:51Z |
| format | Article |
| id | doaj.art-99dd68910c7d4dd6bd1e18da24eb93d5 |
| institution | Directory Open Access Journal |
| issn | 2391-5455 |
| language | English |
| last_indexed | 2024-03-13T08:22:51Z |
| publishDate | 2023-05-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj.art-99dd68910c7d4dd6bd1e18da24eb93d52023-05-31T06:55:36ZengDe GruyterOpen Mathematics2391-54552023-05-0121128629510.1515/math-2022-0556Convergence properties for coordinatewise asymptotically negatively associated random vectors in Hilbert spaceHe Qihui0Pan Lin1Department of Public Education, Anhui Finance and Trade Vocational College, Hefei, 230601, ChinaDepartment of Basic Education, Anhui Academy of Governance, Hefei, 230022, ChinaIn this work, the authors study some convergence results including weak law of large numbers, strong law of large numbers, complete convergence, and complete moment convergence for weighted sums of coordinatewise asymptotically negatively associated random vectors in Hilbert spaces. These results improve or extend some corresponding ones in the literature.https://doi.org/10.1515/math-2022-0556law of large numberscomplete convergencecomplete moment convergencecoordinatewise asymptotically negatively associatedhilbert space60f15 |
| spellingShingle | He Qihui Pan Lin Convergence properties for coordinatewise asymptotically negatively associated random vectors in Hilbert space Open Mathematics law of large numbers complete convergence complete moment convergence coordinatewise asymptotically negatively associated hilbert space 60f15 |
| title | Convergence properties for coordinatewise asymptotically negatively associated random vectors in Hilbert space |
| title_full | Convergence properties for coordinatewise asymptotically negatively associated random vectors in Hilbert space |
| title_fullStr | Convergence properties for coordinatewise asymptotically negatively associated random vectors in Hilbert space |
| title_full_unstemmed | Convergence properties for coordinatewise asymptotically negatively associated random vectors in Hilbert space |
| title_short | Convergence properties for coordinatewise asymptotically negatively associated random vectors in Hilbert space |
| title_sort | convergence properties for coordinatewise asymptotically negatively associated random vectors in hilbert space |
| topic | law of large numbers complete convergence complete moment convergence coordinatewise asymptotically negatively associated hilbert space 60f15 |
| url | https://doi.org/10.1515/math-2022-0556 |
| work_keys_str_mv | AT heqihui convergencepropertiesforcoordinatewiseasymptoticallynegativelyassociatedrandomvectorsinhilbertspace AT panlin convergencepropertiesforcoordinatewiseasymptoticallynegativelyassociatedrandomvectorsinhilbertspace |