Acta mathematica scientia,Series A

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Strong Convergence Rate of Weighted Sums for NOD Sequences

Gan Shixin;Chen Pingyan   

  1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072

    Department of Mathematics, Jinan University, Guangzhou 510630

  • Received:2005-11-27 Revised:2007-10-08 Online:2008-04-25 Published:2008-04-25
  • Contact: Gan Shixin

Abstract: In this paper the authors study the strong convergence rate of weighted sums for NOD sequences. The authors obtain some new complete convergence results of weighted sums for NOD sequences. The results extend the results of Chen Ruilin$^{[1]}$ in NA sequence case and partially extend
the corresponding work of i.i.d. case due to Stout$^{[2]}$.

Key words: Strong convergence rate, Complete convergence, Weighted sums, NOD sequences

CLC Number: 

  • 60F15
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