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B值随机元序列的收敛性及一致可积性
引用本文:邱育锋.B值随机元序列的收敛性及一致可积性[J].漳州师范学院学报,2004,17(2):13-18.
作者姓名:邱育锋
作者单位:龙岩师专数学系,福建龙岩346000
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.

关 键 词:B值随机元  几乎处处收敛  依概率收敛  r-阶平均收敛  一致可积
文章编号:1008-7826(2004)02-0013-06
修稿时间:2004年3月5日

Convergence and Uniform Integrability for Sequence of B-valued Random Elements
QIU Yu-feng.Convergence and Uniform Integrability for Sequence of B-valued Random Elements[J].Journal of ZhangZhou Teachers College(Natural Science),2004,17(2):13-18.
Authors:QIU Yu-feng
Abstract: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.
Keywords:B-valued random element  convergence almost everywhere  Convergence in probability  convergence in mean of order r  uniformly integrable
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