Acta mathematica scientia,Series A ›› 2016, Vol. 36 ›› Issue (3): 448-455.

Previous Articles     Next Articles

Complete Convergence for Weighted Sums Under END Setup

Li Wei   

  1. College of Computation Science, Zhongkai University of Agriculture and Engineering, Guangzhou 510225
  • Received:2015-11-08 Revised:2016-03-06 Online:2016-06-26 Published:2016-06-26
  • Supported by:

    Supported by the NSFC (61374067)

Abstract:

The complete convergence for the weighted sums of identically distributed NA random variables in [1] is improved and extended under the END setup. The main tool in [1] is the maximum Rosenthal's type moemnt inequality, but it is unknown whether the kind of moment inequality holds or not for END, so our method is different from [1].

Key words: END sequence, Weighted sum, Complete convergence

CLC Number: 

  • O211.4
Trendmd