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关于任意B值r.v.序列的强收敛性的注
引用本文:施建华,黄可明.关于任意B值r.v.序列的强收敛性的注[J].应用数学学报,2007,30(5):885-890.
作者姓名:施建华  黄可明
作者单位:1. 漳州师范学院数学与信息科学系,漳州,363000
2. 福州大学数学与计算机科学学院,福州,350002
基金项目:漳州师范学院校科研和教改项目
摘    要:本文对仅在矩条件限制下的任意B值r.v.序列的强收敛性进行讨论,改进推广了已有的几个结果,使之成为本文结论的推论,同时也推广了其它相关的经典结论.

关 键 词:强收敛性  B值随机变量  拟增函数  鞅差序列
修稿时间:2006-11-23

The Note About the Strong Convergence for the Sequence of Arbitrary B-Valued Random Variables
SHI JIANHUA,HUANG KEMING.The Note About the Strong Convergence for the Sequence of Arbitrary B-Valued Random Variables[J].Acta Mathematicae Applicatae Sinica,2007,30(5):885-890.
Authors:SHI JIANHUA  HUANG KEMING
Institution:1.Department of Mathematics and Information Science, Zhangzhou Normal University, Zhangzhou 363000;2.College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350002
Abstract:In this paper, we discuss the strong convergence for a sequence of arbitrary B-Valued random variables, only under the limit of moment. Further, some results known are extended. Meanwhile, the corollaries established here improve the relevant classic conclusions.
Keywords:strong convergence  B-valued random variables  quasi-increasing function  martingale difference sequence
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