Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (6): 1487-1491.

• Articles • Previous Articles     Next Articles

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

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

CLC Number: 

  • 60F15
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