Convergence properties for arrays of rowwise pairwise negatively quadrant dependent random variables

Yongfeng Wu; Dingcheng Wang

Displaying similar documents to “Convergence properties for arrays of rowwise pairwise negatively quadrant dependent random variables”

Strong laws of large numbers for arrays of row-wise independent random elements.

Taylor, Robert Lee, Hu, Tien-Chung (1987)

International Journal of Mathematics and Mathematical Sciences

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

Xinghui Wang, Xiaoqin Li, Shuhe Hu (2014)

Applications of Mathematics

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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).