On the strong convergence for weighted sums of negatively superadditive dependent random variables

Abstract In this article, some strong convergence results for weighted sums of negatively superadditive dependent random variables are studied without assumption of identical distribution. The results not only generalize the corresponding ones of Cai (Metrika 68:323-331, 2008) and Sung (Stat. Pap. 5...

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Main Authors: Bing Meng, Dingcheng Wang, Qunying Wu
Format: Article
Language:English
Published: SpringerOpen 2017-10-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-017-1530-9
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author Bing Meng
Dingcheng Wang
Qunying Wu
author_facet Bing Meng
Dingcheng Wang
Qunying Wu
author_sort Bing Meng
collection DOAJ
description Abstract In this article, some strong convergence results for weighted sums of negatively superadditive dependent random variables are studied without assumption of identical distribution. The results not only generalize the corresponding ones of Cai (Metrika 68:323-331, 2008) and Sung (Stat. Pap. 52:447-454, 2011), but also extend and improve the corresponding one of Chen and Sung (Stat. Probab. Lett. 92:45-52, 2014).
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spelling doaj.art-3f4ef73d4c774d22b4891ef8365b70b62022-12-22T01:40:55ZengSpringerOpenJournal of Inequalities and Applications1029-242X2017-10-012017111410.1186/s13660-017-1530-9On the strong convergence for weighted sums of negatively superadditive dependent random variablesBing Meng0Dingcheng Wang1Qunying Wu2School of Mathematical Science, University of Electronic Science and Technology of ChinaSchool of Mathematical Science, University of Electronic Science and Technology of ChinaCollege of Science, Guilin University of TechnologyAbstract In this article, some strong convergence results for weighted sums of negatively superadditive dependent random variables are studied without assumption of identical distribution. The results not only generalize the corresponding ones of Cai (Metrika 68:323-331, 2008) and Sung (Stat. Pap. 52:447-454, 2011), but also extend and improve the corresponding one of Chen and Sung (Stat. Probab. Lett. 92:45-52, 2014).http://link.springer.com/article/10.1186/s13660-017-1530-9negatively superadditive dependent random variablesstrong convergenceweighted sums
spellingShingle Bing Meng
Dingcheng Wang
Qunying Wu
On the strong convergence for weighted sums of negatively superadditive dependent random variables
Journal of Inequalities and Applications
negatively superadditive dependent random variables
strong convergence
weighted sums
title On the strong convergence for weighted sums of negatively superadditive dependent random variables
title_full On the strong convergence for weighted sums of negatively superadditive dependent random variables
title_fullStr On the strong convergence for weighted sums of negatively superadditive dependent random variables
title_full_unstemmed On the strong convergence for weighted sums of negatively superadditive dependent random variables
title_short On the strong convergence for weighted sums of negatively superadditive dependent random variables
title_sort on the strong convergence for weighted sums of negatively superadditive dependent random variables
topic negatively superadditive dependent random variables
strong convergence
weighted sums
url http://link.springer.com/article/10.1186/s13660-017-1530-9
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