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

Applications of mathematics

关键词: complete convergence;    $\varphi $-mixing sequence;    Marcinkiewicz-Zygmund type strong law of large numbers;   

DOI  :  10.1007/s10492-014-0073-3

学科分类：应用数学

来源: Akademie Ved Ceske Republiky

【 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).

【 授权许可】

Unknown