J4 ›› 2012, Vol. 50 ›› Issue (06): 1129-1134.

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Almost Sure Central Limit Theorem for Products ofSums of Partial Sums for ρ-Mixing Sequences

ZOU Guangyu1,2, ZHANG Yong1   

  1. 1. Institute of Mathematics, Jilin University, Changchun 130012, China;2. School of Science, Changchun Institute of Technology, Changchun 130012, China
  • Received:2012-04-18 Online:2012-11-26 Published:2012-11-26
  • Contact: ZHANG Yong E-mail:zyong2661@jlu.edu.cn

Abstract:

Under some suitable assumptions, we proved the almost sure central limit theorem for the products of sums of partial sums for ρ-mixing sequences using the central limit theorem of weighted sums and the moment inequality.

Key words: ρ-mixing sequence, products of sums of partial sums, almost sure central limit theorem

CLC Number: 

  • O211.4