Complete convergence of weighted sums for arrays of rowwise φ-mixing random variables |
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Authors: | Xinghui Wang Xiaoqin Li Shuhe Hu |
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Institution: | 1. Department of Statistics, Anhui University, Hefei, 230039, P. R. China
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Abstract: | 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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