ON THE STRONG LAW OF LARGE NUMBERS

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 HoffmannJorgensen and Pisier theorem are obtained.

作 者： Qiu dehua Gan Shixin   作者單位： Qiu dehua(Department of Mathematics, Hangyang Hormal University, Hengyang 421008, China)

Gan Shixin(School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China) 

刊 名： 數學物理學報（英文版）  ISTIC SCI 英文刊名： ACTA MATHEMATICA SCIENTIA  年，卷(期)： 2005 25(3)  分類號： O41  關鍵詞： BC random variable sequence   p-smoothable Banach space   the strong law of large numbers  

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