ON THE STRONG LAW OF LARGE NUMBERS

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(shù)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  

【ON THE STRONG LAW OF LARGE NUMBERS】相關文章：

Numbers in English05-04

common law的翻譯05-04

Strong (Weak) Exact Controllability and Strong (Weak) Exact Observability for Quasilinear Hyperbolic Systems04-26

Variation Law of Organic Contaminant in Lijiang River04-26

Isothermal study of effusion cooling flows using a large eddy simulation approach04-27

Preparation and characterization of mixed hydroxy-Fe-Al pillared montmorillonite with large basal spacing04-26

高一英語作文：Do ＂Lucky Numbers＂ Really Bring Good Luck?02-28

Large帶函數(shù)約束的擬變分不等式問題的Levitin-Polyak適定性04-26