On weak convergence of probability measures in a Banach space

被引:0
|
作者
Baushev A.N. [1 ]
机构
[1] St. Petersburg Railway University,
关键词
Distribution Function; Probability Distribution; Banach Space; Probability Measure; Weak Convergence;
D O I
10.1023/A:1014512929198
中图分类号
学科分类号
摘要
Necessary and sufficient conditions are obtained for weak convergence of Borel probability distributions in a separable strictly normed Banach space with a continuous modulus of convexity. These conditions are given in terms of simultaneous convergence of the distribution functions of the norm and of all linear continuous junctionals with respect to the sequence of distributions under consideration. ©2002 Plenum Publishing Corporation. © 2002 Plenum Publishing Corporation.
引用
收藏
页码:2037 / 2046
页数:9
相关论文
共 50 条