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

被引：9

作者：

Wu, Yongfeng ^{[1
]}

Song, Mingzhu ^{[1
]}

Wang, Chunhua ^{[2
]}

机构：

[1] Tongling Univ, Coll Math & Comp Sci, Tongling 244000, Peoples R China

[2] Anhui Tradit Chinese Med Coll, Dept Math & Phys, Hefei 230051, Peoples R China

来源：

SCIENTIFIC WORLD JOURNAL | 2014年

基金：

中国国家自然科学基金;

关键词：

LARGE NUMBERS; LIMITING BEHAVIOR; WEIGHTED SUMS; STRONG LAW;

D O I：

10.1155/2014/478612

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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).

引用

页数：7

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