Acta mathematica scientia,Series B ›› 2014, Vol. 34 ›› Issue (5): 1634-1642.doi: 10.1016/S0252-9602(14)60109-0

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ON THE ALMOST EVERYWHERE CONVERGENCE FOR ARBITRARY STOCHASTIC SEQUENCE

 YANG Wei-Guo, TAO Lin-Lian, CHENG Xiao-Jun   

  1. Faculty of Science, Jiangsu University, Zhenjiang 212013, China
  • Received:2012-09-04 Revised:2013-11-14 Online:2014-09-20 Published:2014-09-20
  • Supported by:

    Here is the content of the fund which you are supported by National Natural Science foundation of China (11071104).

Abstract:

The purpose of this paper is to establish a class of strong limit theorems for arbitrary stochastic sequences. As corollaries, we generalize some known results.

Key words: strong limit theorem, stochastic sequence, martingale

CLC Number: 

  • 60F15
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