Complete convergence of weighted sums for arrays of rowwise φ-mixing random variables

被引：0
作者：
Xinghui Wang
Xiaoqin Li
Shuhe Hu
机构：
[1] Anhui University,Department of Statistics
来源：
Applications of Mathematics | 2014年 / 59卷
关键词：
complete convergence; -mixing sequence; Marcinkiewicz-Zygmund type strong law of large numbers; 60B10; 60F15;
D O I：
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学科分类号：
摘要：
In this paper, we establish the complete convergence and complete moment convergence of weighted sums for arrays of rowwise φ-mixing random variables, and the Baum-Katz-type result for arrays of rowwise φ-mixing random variables. As an application, the Marcinkiewicz-Zygmund type strong law of large numbers for sequences of φ-mixing random variables is obtained. We extend and complement the corresponding results of X. J. Wang, S. H. Hu (2012).
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页码：589 / 607
页数：18
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