J4 ›› 2012, Vol. 50 ›› Issue (02): 270-274.

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Almost Sure Central Limit Theorem for the Productof Partial Sums of i.i.d Positive Variables

FENG Fengxiang   

  1. School of Science, Guilin University of Technology, Guilin 541004, Guangxi Zhuang Autonomous Region, China
  • Received:2011-02-10 Online:2012-03-26 Published:2012-03-21
  • Contact: FENG Fengxiang E-mail:ffxiang@glite.edu.cn

Abstract:

By method of subsequence, a better result on almost sure central limit theorem is obtained for the product of partial sums of i.i.d positive variables. In this paper, the weight is changed to be bigger in the theorem which improves the corresponding results.

Key words: i.i.d random variable, product of partial sums, almost sure central limit theorem

CLC Number: 

  • O211.4