Journal of Jilin University Science Edition

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Note on Almost Sure Central Limit Theorem forProduct of Partial Sums of ρ--Mixing Sequences

LI Yuan, XU Feng   

  1. College of Science, Guilin University of Technology, Guilin 541004, Guangxi Zhuang Autonomous Region, China
  • Received:2015-11-03 Online:2016-07-26 Published:2016-07-20
  • Contact: XU Feng E-mail:xufeng34@163.com

Abstract:

Let {Xn, n≥1} be a strictly stationary sequence of ρ--mixing random variables. By using moment inequality and the central limit theorem of weighted sums, we obtained almost sure central limit theorem for product of some partial sums of ρ--mixing sequences under general weights.

Key words: ρ--mixing sequences, product of partial sums; almost sure central limit theorem

CLC Number: 

  • O211.4