Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (2): 262-271.

• Articles • Previous Articles     Next Articles

Almost Sure Central Limit Theroem in Separable Metric Space

 FANG Yong-. Zhang-Chao-Xi   

  1. (Department of Mathematics, Hubei University, Wuhan 430062)
  • Received:2007-09-30 Revised:2008-09-05 Online:2009-04-25 Published:2009-04-25
  • Supported by:

    国家自然科学基金(10871077)资助

Abstract:

In this paper, the authors get the almost sure central limit theroems in separable metric space. As applications, they discuss the almost sure central limit theroems for the independent identically distributed random element
sequence in separable Banach space, a certain independent identically distributed stochastic  processes sequence and  multidimension independent identically distributed random variables sequence.

Key words: Separable metric space, Almost sure central limit theroem, Random element

CLC Number: 

  • 65F05
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