Acta mathematica scientia, Series B >
ON THE ALMOST EVERYWHERE CONVERGENCE FOR ARBITRARY STOCHASTIC SEQUENCE
Received date: 2012-09-04
Revised date: 2013-11-14
Online published: 2014-09-20
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Here is the content of the fund which you are supported by National Natural Science foundation of China (11071104).
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
YANG Wei-Guo , TAO Lin-Lian , CHENG Xiao-Jun . ON THE ALMOST EVERYWHERE CONVERGENCE FOR ARBITRARY STOCHASTIC SEQUENCE[J]. Acta mathematica scientia, Series B, 2014 , 34(5) : 1634 -1642 . DOI: 10.1016/S0252-9602(14)60109-0
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