Complete Moment Convergence and Mean Convergence for Arrays of Rowwise Extended Negatively Dependent Random Variables

The authors first present a Rosenthal inequality for sequence of extended negatively dependent (END) random variables. By means of the Rosenthal inequality, the authors obtain some complete moment convergence and mean convergence results for arrays of rowwise END random variables. The results in thi...

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Main Authors: Yongfeng Wu, Mingzhu Song, Chunhua Wang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/478612
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author Yongfeng Wu
Mingzhu Song
Chunhua Wang
author_facet Yongfeng Wu
Mingzhu Song
Chunhua Wang
author_sort Yongfeng Wu
collection DOAJ
description The authors first present a Rosenthal inequality for sequence of extended negatively dependent (END) random variables. By means of the Rosenthal inequality, the authors obtain some complete moment convergence and mean convergence results for arrays of rowwise END random variables. The results in this paper extend and improve the corresponding theorems by Hu and Taylor (1997).
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institution Kabale University
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language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series The Scientific World Journal
spelling doaj-art-56c803612bc649259fc77e5dc0bb3af12025-02-03T05:51:21ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/478612478612Complete Moment Convergence and Mean Convergence for Arrays of Rowwise Extended Negatively Dependent Random VariablesYongfeng Wu0Mingzhu Song1Chunhua Wang2College of Mathematics and Computer Science, Tongling University, Tongling 244000, ChinaCollege of Mathematics and Computer Science, Tongling University, Tongling 244000, ChinaDepartment of Mathematics and Physics, Anhui Traditional Chinese Medical College, Hefei 230051, ChinaThe authors first present a Rosenthal inequality for sequence of extended negatively dependent (END) random variables. By means of the Rosenthal inequality, the authors obtain some complete moment convergence and mean convergence results for arrays of rowwise END random variables. The results in this paper extend and improve the corresponding theorems by Hu and Taylor (1997).http://dx.doi.org/10.1155/2014/478612
spellingShingle Yongfeng Wu
Mingzhu Song
Chunhua Wang
Complete Moment Convergence and Mean Convergence for Arrays of Rowwise Extended Negatively Dependent Random Variables
The Scientific World Journal
title Complete Moment Convergence and Mean Convergence for Arrays of Rowwise Extended Negatively Dependent Random Variables
title_full Complete Moment Convergence and Mean Convergence for Arrays of Rowwise Extended Negatively Dependent Random Variables
title_fullStr Complete Moment Convergence and Mean Convergence for Arrays of Rowwise Extended Negatively Dependent Random Variables
title_full_unstemmed Complete Moment Convergence and Mean Convergence for Arrays of Rowwise Extended Negatively Dependent Random Variables
title_short Complete Moment Convergence and Mean Convergence for Arrays of Rowwise Extended Negatively Dependent Random Variables
title_sort complete moment convergence and mean convergence for arrays of rowwise extended negatively dependent random variables
url http://dx.doi.org/10.1155/2014/478612
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AT mingzhusong completemomentconvergenceandmeanconvergenceforarraysofrowwiseextendednegativelydependentrandomvariables
AT chunhuawang completemomentconvergenceandmeanconvergenceforarraysofrowwiseextendednegativelydependentrandomvariables