Acta mathematica scientia,Series A

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Almost Sure Central Limit Theorems for Functions of Random Variables

Chen Shouquan; Lin Zhengyan   

  1. (School of Mathematics and Statistics, Southwest University, Chongqing 400715)
  • Received:2006-03-26 Revised:2008-01-08 Online:2008-08-25 Published:2008-08-25
  • Contact: Chen Shouquan

Abstract: The authors prove a general almost sure central limit theorem for a sequence of random elements, and apply the result to the functionals of random variables.

Key words: Almost sure central limit theorem, Random function, Stationary strongly mixing sequence, U-statistic

CLC Number: 

  • 60F05
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