Complete moment convergence of weighted sums for processes under asymptotically almost negatively associated assumptions

被引：7

作者：

An, Jun ^{[1
]}

机构：

[1] Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2014年 / 124卷 / 02期

关键词：

Asymptotically almost negatively associated; weighted sums; complete moment convergence; RANDOM-VARIABLES; STRONG LAW; DEPENDENCE ASSUMPTIONS; LARGE NUMBERS;

D O I：

10.1007/s12044-014-0170-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For weighted sums of sequences of asymptotically almost negatively associated (AANA) random variables, we study the complete moment convergence by using the Rosenthal type moment inequalities. Our results extend the corresponding ones for sequences of independently identically distributed random variables of Chow [4].

引用

页码：267 / 279

页数：13

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