Complete convergence and complete moment convergence for weighted sums of m-NA random variables

被引:0
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作者
Yongfeng Wu
Tien-Chung Hu
Andrei Volodin
机构
[1] Tongling University,College of Mathematics and Computer Science
[2] National Tsing Hua University,Department of Mathematics
[3] University of Regina,Department of Mathematics and Statistics
关键词
complete convergence; complete moment convergence; weighted sums; -negatively associated random variable; 60F15; 62G05;
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摘要
The authors study the complete convergence and the complete moment convergence for weighted sums of m-negatively associated (m-NA) random variables and obtain some new results. These results extend and improve the corresponding theorems of Sung (Stat. Pap. 52:447-454, 2011). In addition, we point out that an open problem presented in Sung (Stat. Pap. 54:773-781, 2013) can be solved by means of the method used in this paper.
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