Complete convergence and complete moment convergence for arrays of rowwise ANA random variables
Abstract In this article, we investigate complete convergence and complete moment convergence for weighted sums of arrays of rowwise asymptotically negatively associated (ANA) random variables. The results obtained not only generalize the corresponding ones of Sung (Stat. Pap. 52:447-454, 2011), Zho...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2016-02-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-016-1016-1 |
| _version_ | 1818258025319759872 |
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| author | Haiwu Huang Jiangyan Peng Xiongtao Wu Bin Wang |
| author_facet | Haiwu Huang Jiangyan Peng Xiongtao Wu Bin Wang |
| author_sort | Haiwu Huang |
| collection | DOAJ |
| description | Abstract In this article, we investigate complete convergence and complete moment convergence for weighted sums of arrays of rowwise asymptotically negatively associated (ANA) random variables. The results obtained not only generalize the corresponding ones of Sung (Stat. Pap. 52:447-454, 2011), Zhou et al. (J. Inequal. Appl. 2011:157816, 2011), and Sung (Stat. Pap. 54:773-781, 2013) to the case of ANA random variables, but also improve them. |
| first_indexed | 2024-12-12T17:52:59Z |
| format | Article |
| id | doaj.art-6233d0772f774d01a1b55073e5ec762d |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-12T17:52:59Z |
| publishDate | 2016-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-6233d0772f774d01a1b55073e5ec762d2022-12-22T00:16:47ZengSpringerOpenJournal of Inequalities and Applications1029-242X2016-02-012016111310.1186/s13660-016-1016-1Complete convergence and complete moment convergence for arrays of rowwise ANA random variablesHaiwu Huang0Jiangyan Peng1Xiongtao Wu2Bin Wang3College of Mathematics and Statistics, Hengyang Normal UniversitySchool of Mathematical Science, University of Electronic Science and Technology of ChinaCollege of Mathematics and Statistics, Hengyang Normal UniversityCollege of Science, Guilin University of TechnologyAbstract In this article, we investigate complete convergence and complete moment convergence for weighted sums of arrays of rowwise asymptotically negatively associated (ANA) random variables. The results obtained not only generalize the corresponding ones of Sung (Stat. Pap. 52:447-454, 2011), Zhou et al. (J. Inequal. Appl. 2011:157816, 2011), and Sung (Stat. Pap. 54:773-781, 2013) to the case of ANA random variables, but also improve them.http://link.springer.com/article/10.1186/s13660-016-1016-1arrays of rowwise ANA random variablescomplete convergencecomplete moment convergenceweighted sums |
| spellingShingle | Haiwu Huang Jiangyan Peng Xiongtao Wu Bin Wang Complete convergence and complete moment convergence for arrays of rowwise ANA random variables Journal of Inequalities and Applications arrays of rowwise ANA random variables complete convergence complete moment convergence weighted sums |
| title | Complete convergence and complete moment convergence for arrays of rowwise ANA random variables |
| title_full | Complete convergence and complete moment convergence for arrays of rowwise ANA random variables |
| title_fullStr | Complete convergence and complete moment convergence for arrays of rowwise ANA random variables |
| title_full_unstemmed | Complete convergence and complete moment convergence for arrays of rowwise ANA random variables |
| title_short | Complete convergence and complete moment convergence for arrays of rowwise ANA random variables |
| title_sort | complete convergence and complete moment convergence for arrays of rowwise ana random variables |
| topic | arrays of rowwise ANA random variables complete convergence complete moment convergence weighted sums |
| url | http://link.springer.com/article/10.1186/s13660-016-1016-1 |
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