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.

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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).
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. http://geodesic.mathdoc.fr/articles/10.1007/s10492-014-0073-3/

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