Complete convergence and complete moment convergence for negatively associated sequences of random variables

被引：15
|
作者：
Wu, Qunying [1 ]
Jiang, Yuanying [1 ]
机构：
[1] Guilin Univ Technol, Coll Sci, Guilin 541004, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2016年
基金：
中国国家自然科学基金;
关键词：
negatively associated random variables; complete convergence; complete moment convergence; THEOREM;
D O I：
10.1186/s13660-016-1107-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the complete convergence and complete moment convergence for negatively associated sequences of random variables with , , . As a result, we extend some complete convergence and complete moment convergence theorems for independent random variables to the case of negatively associated random variables without necessarily imposing any extra conditions. Our results generalize corresponding results obtained by Gut and Stadtmuller (Stat. Probab. Lett. 81:1486-1492, 2011) and Qiu and Chen (Stat. Probab. Lett. 91:76-82, 2014).
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页数：10
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