Equivalent conditions of complete moment convergence for extended negatively dependent random variables
Abstract In this paper, we study the equivalent conditions of complete moment convergence for sequences of identically distributed extended negatively dependent random variables. As a result, we extend and generalize some results of complete moment convergence obtained by Chow (Bull. Inst. Math. Aca...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-05-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-017-1403-2 |
| _version_ | 1818213192783888384 |
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| author | Qunying Wu Xiang Zeng |
| author_facet | Qunying Wu Xiang Zeng |
| author_sort | Qunying Wu |
| collection | DOAJ |
| description | Abstract In this paper, we study the equivalent conditions of complete moment convergence for sequences of identically distributed extended negatively dependent random variables. As a result, we extend and generalize some results of complete moment convergence obtained by Chow (Bull. Inst. Math. Acad. Sin. 16:177-201, 1988) and Li and Spătaru (J. Theor. Probab. 18:933-947, 2005) from the i.i.d. case to extended negatively dependent sequences. |
| first_indexed | 2024-12-12T06:00:23Z |
| format | Article |
| id | doaj.art-039a94a2bff34ad99e12f0367228f0ff |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-12T06:00:23Z |
| publishDate | 2017-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-039a94a2bff34ad99e12f0367228f0ff2022-12-22T00:35:25ZengSpringerOpenJournal of Inequalities and Applications1029-242X2017-05-012017111110.1186/s13660-017-1403-2Equivalent conditions of complete moment convergence for extended negatively dependent random variablesQunying Wu0Xiang Zeng1College of Science, Guilin University of TechnologyCollege of Science, Guilin University of TechnologyAbstract In this paper, we study the equivalent conditions of complete moment convergence for sequences of identically distributed extended negatively dependent random variables. As a result, we extend and generalize some results of complete moment convergence obtained by Chow (Bull. Inst. Math. Acad. Sin. 16:177-201, 1988) and Li and Spătaru (J. Theor. Probab. 18:933-947, 2005) from the i.i.d. case to extended negatively dependent sequences.http://link.springer.com/article/10.1186/s13660-017-1403-2extended negatively dependent random variablescomplete moment convergencemoment conditionequivalent conditions |
| spellingShingle | Qunying Wu Xiang Zeng Equivalent conditions of complete moment convergence for extended negatively dependent random variables Journal of Inequalities and Applications extended negatively dependent random variables complete moment convergence moment condition equivalent conditions |
| title | Equivalent conditions of complete moment convergence for extended negatively dependent random variables |
| title_full | Equivalent conditions of complete moment convergence for extended negatively dependent random variables |
| title_fullStr | Equivalent conditions of complete moment convergence for extended negatively dependent random variables |
| title_full_unstemmed | Equivalent conditions of complete moment convergence for extended negatively dependent random variables |
| title_short | Equivalent conditions of complete moment convergence for extended negatively dependent random variables |
| title_sort | equivalent conditions of complete moment convergence for extended negatively dependent random variables |
| topic | extended negatively dependent random variables complete moment convergence moment condition equivalent conditions |
| url | http://link.springer.com/article/10.1186/s13660-017-1403-2 |
| work_keys_str_mv | AT qunyingwu equivalentconditionsofcompletemomentconvergenceforextendednegativelydependentrandomvariables AT xiangzeng equivalentconditionsofcompletemomentconvergenceforextendednegativelydependentrandomvariables |