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.
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页码：907 / 917
页数：11
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