数学物理学报 ›› 2009, Vol. 29 ›› Issue (6): 1487-1491.

• 论文 • 上一篇    下一篇

相依序列加权和的几乎处处中心极限定理

  

  1. 吉林大学数学研究所(前卫南区) |长春 130012
  • 收稿日期:2008-07-29 修回日期:2009-09-07 出版日期:2009-12-25 发布日期:2009-12-25
  • 基金资助:

    国家自然科学基金(10571073)和吉林大学``985工程"项目基金资助

An Almost Sure Central Limit Theorem for Weighted Sums under Association

  1. College of Mathematics, |Jilin University(Qianwei Campus), Changchun 130012
  • Received:2008-07-29 Revised:2009-09-07 Online:2009-12-25 Published:2009-12-25
  • Supported by:

    国家自然科学基金(10571073)和吉林大学``985工程"项目基金资助

摘要:

该文讨论了非平稳负(正)相依序列加权和的几乎处处中心极限定理,改进并推广了相依序列几乎处处中心极限定理的相关结果.

关键词: 几乎处处中心极限定理, 加权和, 负(正)相依

Abstract:

In this paper, the authors prove an almost sure central limit theorem for weighted sums of negatively or positively associated random variables without  stationary assumption. This extends the earlier work on an associated random variables.

Key words: Almost sure central limit theorem, Weighted sums, Negatively (Positively) associated

中图分类号: 

  • 60F15