数学物理学报(英文版) ›› 2005, Vol. 25 ›› Issue (3): 525-532.

• 论文 • 上一篇    下一篇

ON THE STRONG LAW OF LARGE NUMBERS

邱德华,甘师兴   

  1. Department of Mathematics, Hangyang Hormal University, Hengyang 421008, China
    School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
  • 出版日期:2005-07-20 发布日期:2005-07-20
  • 基金资助:

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

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)

摘要:

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.

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

中图分类号: 

  • 60B11