JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (6): 30-36.doi: 10.6040/j.issn.1671-9352.0.2015.340

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Complete moment convergence for arrays of rowwise NSD random variables

ZHANG Yu, XIAO Ben-qiong, XU Ke, SHEN Ai-ting*   

  1. School of Mathematical Sciences, Anhui University, Hefei 230601, Anhui, China
  • Received:2015-07-07 Online:2016-06-20 Published:2016-06-15

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Abstract: We mainly study the complete moment convergence for maximal partial sums of arrays of rowwise negatively superadditive dependent(NSD)random variables by using the truncation method of random variables and Rosenthal type inequality. Some sufficient conditions to prove the complete moment convergence are provided. The results obtained in this paper generalize some corresponding ones for independent random variables and some negatively dependent random variables.

Key words: Rosenthal type inequality, negatively superadditive dependent random variables, complete moment convergence

CLC Number: 

  • O211.4
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