Acta mathematica scientia,Series A ›› 2015, Vol. 35 ›› Issue (4): 729-737.

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Complete Convergence for Sung's Type Weighted Sums Under NOD Setup

Li Wei   

  1. College of Computation Science, Zhongkai University of Agriculture and Engineering, Guangzhou 510225
  • Received:2014-05-08 Revised:2014-10-20 Online:2015-08-25 Published:2015-08-25

Abstract:

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

Key words: NOD sequence, Sung's type weighted sum, Complete convergence

CLC Number: 

  • O211.4
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