A complete convergence theorem for weighted sums of arrays of rowwise negatively dependent random variables

被引：41

作者：

Wu, Qunying ^{[1
,2
]}

机构：

[1] Guilin Univ Technol, Coll Sci, Guilin 541004, Peoples R China

[2] Guangxi Key Lab Spatial Informat & Geomat, Guilin 541004, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2012年

基金：

中国国家自然科学基金;

关键词：

negatively dependent arrays of random variables; complete convergence theorem; moment inequality;

D O I：

10.1186/1029-242X-2012-50

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, applying moment inequality of negatively dependent (ND) random variables which obtained by Asadian et al., the complete convergence theorem for weighted sums of arrays of rowwise ND random variables is discussed. As a result, the complete convergence theorem for ND arrays of random variables is extended. Our results generalize and improve those on complete convergence theorem previously obtained by Hu et al., Ahmed et al, Volodin, and Sung from the independent and identically distributed case to ND sequences.

引用

页数：10

共 19 条

[1] On the rate of complete convergence for weighted sums of arrays of Banach space valued random elements with application to moving average processes [J].