On Complete Convergence for Weighted Sums of φ-Mixing Random Variables

On Complete Convergence for Weighted Sums of φ-Mixing Random Variables

Some results on complete convergence for weighted sums ∑i=1naniXi are presented, where {Xn, n≥1} is a sequence of φ-mixing random variables and {ani,n≥1,i≥1} is an array of constants. They generalize the corresponding results for i.i.d sequence...

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Bibliographic Details
Main Authors: Wang Xuejun, Hu Shuhe, Yang Wenzhi, Shen Yan
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2010/372390
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spelling doaj-299c558409c440a99175233229da87382020-11-25T00:25:00ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-01201010.1155/2010/372390On Complete Convergence for Weighted Sums of φ-Mixing Random VariablesWang XuejunHu ShuheYang WenzhiShen YanSome results on complete convergence for weighted sums ∑i=1naniXi are presented, where {Xn, n≥1} is a sequence of φ-mixing random variables and {ani,n≥1,i≥1} is an array of constants. They generalize the corresponding results for i.i.d sequence to the case of φ-mixing sequence. http://dx.doi.org/10.1155/2010/372390
collection DOAJ
language English
format Article
sources DOAJ
author Wang Xuejun
Hu Shuhe
Yang Wenzhi
Shen Yan
spellingShingle Wang Xuejun
Hu Shuhe
Yang Wenzhi
Shen Yan
On Complete Convergence for Weighted Sums of φ-Mixing Random Variables
Journal of Inequalities and Applications
author_facet Wang Xuejun
Hu Shuhe
Yang Wenzhi
Shen Yan
author_sort Wang Xuejun
title On Complete Convergence for Weighted Sums of φ-Mixing Random Variables
title_short On Complete Convergence for Weighted Sums of φ-Mixing Random Variables
title_full On Complete Convergence for Weighted Sums of φ-Mixing Random Variables
title_fullStr On Complete Convergence for Weighted Sums of φ-Mixing Random Variables
title_full_unstemmed On Complete Convergence for Weighted Sums of φ-Mixing Random Variables
title_sort on complete convergence for weighted sums of φ-mixing random variables
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2010-01-01
description Some results on complete convergence for weighted sums ∑i=1naniXi are presented, where {Xn, n≥1} is a sequence of φ-mixing random variables and {ani,n≥1,i≥1} is an array of constants. They generalize the corresponding results for i.i.d sequence to the case of φ-mixing sequence.
url http://dx.doi.org/10.1155/2010/372390
work_keys_str_mv AT wangxuejun oncompleteconvergenceforweightedsumsofx03c6mixingrandomvariables
AT hushuhe oncompleteconvergenceforweightedsumsofx03c6mixingrandomvariables
AT yangwenzhi oncompleteconvergenceforweightedsumsofx03c6mixingrandomvariables
AT shenyan oncompleteconvergenceforweightedsumsofx03c6mixingrandomvariables
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