Prokhorov-LeCam-Varadarajan's compactness criteria for vector measures on metric spaces

被引：0

作者：

Kawabe, J ^{[1
]}

机构：

[1] Shinshu Univ, Fac Engn, Dept Math, Wakasato, Nagano 3808553, Japan

来源：

HIGH DIMENSIONAL PROBABILITY III | 2003年 / 55卷

关键词：

weak convergence of vector measures; uniform tightness; compactness criterion; semi-Montel space;

D O I：

暂无

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The purpose of the paper is to give compactness and sequential compactness criteria for a set of vector measures on a complete separable metric space with values in a certain semi-Montel space. Among others it is shown that a set of such vector measures is uniformly bounded and uniformly tight if and only if the corresponding set of real measures is relatively sequentially compact with respect to the weak convergence of measures.

引用

页码：35 / 42

页数：8

共 31 条

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