JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (2): 42-49.doi: 10.6040/j.issn.1671-9352.0.2015.151

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On complete moment convergence of weighted sums for arrays of rowwise asymptotically almost negatively associated random variables

ZHANG Li-jun, GUO Ming-le   

  1. School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241003, Anhui, China
  • Received:2015-04-07 Online:2016-02-16 Published:2016-03-11

Abstract: The complete moment convergence of weighted sums for arrays of rowwise asymptotically almost negatively associated random variables was investigated. By using Rosenthal type inequality and truncation method, the sufficient conditions for complete moment convergence of weighted sums for arrays of rowwise asymptotically almost negatively associated random variables were obtained. By using the sufficient conditions, we extend the corresponding results from the complete convergence to the complete moment convergence. Therefore, we complement the property of asymptotically almost negatively associated random variables.

Key words: weighted sums, asymptotically almost negatively associated random variables, complete convergence, complete moment convergence

CLC Number: 

  • O211
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