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

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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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Authors and Affiliations

  1. Department of Statistics, Anhui University, Hefei, 230039, P. R. China

    Xinghui Wang, Xiaoqin Li & Shuhe Hu

Authors
  1. Xinghui Wang
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  2. Xiaoqin Li
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  3. Shuhe Hu
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Corresponding author

Correspondence to Xiaoqin Li.

Additional information

The research has been supported by the National Natural Science Foundation of China (11171001, 11201001), Natural Science Foundation of Anhui Province (1208085QA03, 1308085QA03) and Doctoral Research Start-up Funds Projects of Anhui University.

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Wang, X., Li, X. & Hu, S. Complete convergence of weighted sums for arrays of rowwise φ-mixing random variables. Appl Math 59, 589–607 (2014). https://doi.org/10.1007/s10492-014-0073-3

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