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函数序列关于弱收敛概率测度序列积分的单调收敛定理
Monotone Convergence Theorems for the Integration of Function Sequence with respect to Weak Convergence Probability Measure Sequence
【摘要】 研究了函数序列关于弱收敛概率测度序列积分的单调收敛性,在新的条件下得到了单调收敛定理.
【Abstract】 Monotone convergence theorems for the integration of function sequence with respect to weak convergence probability measure sequence are studied.And some new equivalent conditions of weak convergence of probability measure are obtained.
【关键词】 概率测度;
弱收敛;
单调收敛定理;
一致可积;
【Key words】 probabilitymeasure; weakconvergence; monotone convergencetheorem; uniformly integrable;
【Key words】 probabilitymeasure; weakconvergence; monotone convergencetheorem; uniformly integrable;
- 【文献出处】 重庆工学院学报(自然科学版) ,Journal of Chongqing Institute of Technology(Natural Science) , 编辑部邮箱 ,2009年07期
- 【分类号】O211.4
- 【下载频次】112