Geodesic
Complete convergence of weighted sums for arrays of rowwise $\varphi $-mixing random variables
Applications of Mathematics, Tome 59 (2014) no. 5, pp. 589-607 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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).
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).
DOI : 10.1007/s10492-014-0073-3
Classification : 60B10, 60F15
Keywords: complete convergence; $\varphi $-mixing sequence; Marcinkiewicz-Zygmund type strong law of large numbers 
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Wang, Xinghui; Li, Xiaoqin; Hu, Shuhe. Complete convergence of weighted sums for arrays of rowwise $\varphi $-mixing random variables. Applications of Mathematics, Tome 59 (2014) no. 5, pp. 589-607. doi: 10.1007/s10492-014-0073-3

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