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Complete convergence of weighted sums for arrays of rowwise $\varphi $-mixing random variables
[摘要] In this paper, we establish the complete convergence and complete moment convergence of weighted sums for arrays of rowwise $\varphi $-mixing random variables, and the Baum-Katz-type result for arrays of rowwise $\varphi $-mixing random variables. As an application, the Marcinkiewicz-Zygmund type strong law of large numbers for sequences of $\varphi $-mixing random variables is obtained. We extend and complement the corresponding results of X. J. Wang, S. H. Hu (2012).
[发布日期]  [发布机构] 
[效力级别]  [学科分类] 应用数学
[关键词] complete convergence;$\varphi $-mixing sequence;Marcinkiewicz-Zygmund type strong law of large numbers [时效性] 
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