Acta mathematica scientia,Series B ›› 2005, Vol. 25 ›› Issue (3): 525-532.

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ON THE STRONG LAW OF LARGE NUMBERS

 QIU De-Hua, GAN Shi-Xin   

  • Online:2005-07-20 Published:2005-07-20
  • Supported by:

    Supported by the National Natural Science Foundation of China(10071058)

Abstract:

This paper introduces the concept of BC sequences and investigates some
conditions which imply the strong law of large numbers for these sequences. The authors
also study the strong law of large numbers for general random variable sequences. As
applications of the result the authors characterize p-smoothableness of Banach space. Some
generalizations of Petrov theorem, the Marcinkiewicz-Zygmund theorem and Hoffmann-
Jørgensen and Pisier theorem are obtained.

Key words: BC random variable sequence, p-smoothable Banach space;the strong law
of large numbers

CLC Number: 

  • 60B11
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