Journal of Inequalities and Applications (Feb 2016)

Complete convergence and complete moment convergence for arrays of rowwise ANA random variables

  • Haiwu Huang,
  • Jiangyan Peng,
  • Xiongtao Wu,
  • Bin Wang

DOI
https://doi.org/10.1186/s13660-016-1016-1
Journal volume & issue
Vol. 2016, no. 1
pp. 1 – 13

Abstract

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Abstract In this article, we investigate complete convergence and complete moment convergence for weighted sums of arrays of rowwise asymptotically negatively associated (ANA) random variables. The results obtained not only generalize the corresponding ones of Sung (Stat. Pap. 52:447-454, 2011), Zhou et al. (J. Inequal. Appl. 2011:157816, 2011), and Sung (Stat. Pap. 54:773-781, 2013) to the case of ANA random variables, but also improve them.

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