B值随机元序列的收敛性及一致可积性  

Convergence and Uniform Integrability for Sequence of B-valued Random Elements

作　　者：邱育锋 

机构地区：[1]龙岩师专数学系 福建龙岩346000

出　　处：《漳州师范学院学报（自然科学版）》2004年第2期13-18,共6页Journal of ZhangZhou Teachers College（Natural Science)

摘　　要：本文给出了B值随机元概念的若干等价性定义,讨论了B值随机元序列诸收敛性及其关系,进而得到了B值随机元序列一致可积性的充要条件.In this paper, Some equivalent definitions of B-Valued random element are established. We discussed relations among the convergence of B-valued elements. Forthermore, a few necessary and sufficient conditions with uniform integrability of B-valued random elements are obtained.

关 键 词：B值随机元序列 收敛性 一致可积性 几乎处处收敛 依概率收敛 r-阶平均收敛 

分 类 号：O211.5[理学—概率论与数理统计]