DISTRIBUTIONS OF RANDOM CLOSED SETS VIA CONTAINMENT FUNCTIONALS

被引：0

作者：

Teran, Pedro ^{[1
,2
]}

机构：

[1] Univ Oviedo, Dept Estadist, Escuela Politecn Ingn, E-33071 Oviedo, Spain

[2] Univ Oviedo, IO & DM, E-33071 Oviedo, Spain

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2014年 / 15卷 / 05期

关键词：

Capacity; containment functional; random closed set;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is a celebrated result in the theory of random sets that, in a locally compact second countable Hausdorff space, distributions of random closed sets are in one-to-one correspondence with certain capacities. In this paper we generalize the correspondence to locally compact a-compact Hausdorff spaces, showing that second countability is not necessary.

引用

页码：907 / 917

页数：11

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