Strong convergence theorems for coordinatewise negatively associated random vectors in Hilbert space
Abstract In this work, some strong convergence theorems are established for weighted sums of coordinatewise negatively associated random vectors in Hilbert spaces. The results obtained in this paper improve and extend the corresponding ones of Huan et al. (Acta Math. Hung. 144(1):132–149, 2014) as w...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-04-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-018-1678-y |
| _version_ | 1818419586952855552 |
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| author | Xiang Huang Yongfeng Wu |
| author_facet | Xiang Huang Yongfeng Wu |
| author_sort | Xiang Huang |
| collection | DOAJ |
| description | Abstract In this work, some strong convergence theorems are established for weighted sums of coordinatewise negatively associated random vectors in Hilbert spaces. The results obtained in this paper improve and extend the corresponding ones of Huan et al. (Acta Math. Hung. 144(1):132–149, 2014) as well as correct and improve the corresponding one of Ko (J. Inequal. Appl. 2017:290, 2017). |
| first_indexed | 2024-12-14T12:40:56Z |
| format | Article |
| id | doaj.art-2771227ca5c9430da68d7bbf38b8f213 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-14T12:40:56Z |
| publishDate | 2018-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-2771227ca5c9430da68d7bbf38b8f2132022-12-21T23:00:54ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-04-012018111310.1186/s13660-018-1678-yStrong convergence theorems for coordinatewise negatively associated random vectors in Hilbert spaceXiang Huang0Yongfeng Wu1College of Medicine Information Engineering, Anhui University of Chinese MedicineSchool of Mathematics and Finance, Chuzhou UniversityAbstract In this work, some strong convergence theorems are established for weighted sums of coordinatewise negatively associated random vectors in Hilbert spaces. The results obtained in this paper improve and extend the corresponding ones of Huan et al. (Acta Math. Hung. 144(1):132–149, 2014) as well as correct and improve the corresponding one of Ko (J. Inequal. Appl. 2017:290, 2017).http://link.springer.com/article/10.1186/s13660-018-1678-yComplete convergenceComplete moment convergenceCoordinatewise negatively associatedRandom vectorsHilbert space |
| spellingShingle | Xiang Huang Yongfeng Wu Strong convergence theorems for coordinatewise negatively associated random vectors in Hilbert space Journal of Inequalities and Applications Complete convergence Complete moment convergence Coordinatewise negatively associated Random vectors Hilbert space |
| title | Strong convergence theorems for coordinatewise negatively associated random vectors in Hilbert space |
| title_full | Strong convergence theorems for coordinatewise negatively associated random vectors in Hilbert space |
| title_fullStr | Strong convergence theorems for coordinatewise negatively associated random vectors in Hilbert space |
| title_full_unstemmed | Strong convergence theorems for coordinatewise negatively associated random vectors in Hilbert space |
| title_short | Strong convergence theorems for coordinatewise negatively associated random vectors in Hilbert space |
| title_sort | strong convergence theorems for coordinatewise negatively associated random vectors in hilbert space |
| topic | Complete convergence Complete moment convergence Coordinatewise negatively associated Random vectors Hilbert space |
| url | http://link.springer.com/article/10.1186/s13660-018-1678-y |
| work_keys_str_mv | AT xianghuang strongconvergencetheoremsforcoordinatewisenegativelyassociatedrandomvectorsinhilbertspace AT yongfengwu strongconvergencetheoremsforcoordinatewisenegativelyassociatedrandomvectorsinhilbertspace |