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

Xinghui WangXiaoqin LiShuhe Hu — 2014

Applications of Mathematics

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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