An Almost Sure Central Limit Theorem for Weighted Sums of Mixing Sequences

• 作 者: ZOU GUANG-YU ZHANG YONG Wang D
• 出 处: 数学研究通讯
• 发表日期: 2004年期
• 关键词: almost sure central limit theorem weighted sum mixing sequence logarithmic avera

In this paper,we prove an almost sure central limit theorem for weighted sums of mixing sequences of random variables without stationary assumptions.We no longer restrict to logarithmic averages,but allow rather arbitrary weight sequences.This extends the earlier work on mixing random variables.