改进的H-r可积下随机变量的弱大数定律  

Weak Law of Large Numbers of Random Variables under Condition of Improved H-r Integrability

作　　者：施明华[1] 岳芹[1] 赵义超[1] 

机构地区：[1]皖西学院应用数学学院,安徽六安237012

出　　处：《泰山学院学报》2013年第3期51-55,共5页Journal of Taishan University

摘　　要：本文将Cesàro α一致可积进一步弱化,给出一种H-r一致可积概念.并利用一些重要的概率不等式,给出了H-r一致可积下随机变量序列的弱大数定律.This paper introduces a new concept H - r uniform integrability, which weaken the notion of Cesaro α uniform integrability. Utilizing some important probability inequality, the authors prove the weak law of large numbers of random variables under condition of H - r uniform integrability.

关 键 词：弱大数率 一致可积 随机变量和 

分 类 号：O211.4[理学—概率论与数理统计]