On the equivalence of Aumann and Herer expectations of random sets

被引：0
|
作者：
Pedro Terán
机构：
[1] Universidad de Zaragoza,Facultad de Ciencias Económicas y Empresariales, Unidad Docente de Métodos Estadísticos, Grupo Decisión Multicriterio Zaragoza
来源：
TEST | 2008年 / 17卷
关键词：
Aumann expectation; Herer expectation; Mazur intersection property; Random set; 60D05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Spaces where the Aumann and Herer notions of expectation of a random set coincide are exactly those having the Mazur Intersection Property (the closed convex hull of a bounded set is the intersection of all balls covering it). For a random compact set, more can be said: its Herer expectation is always the intersection of all closed balls covering its Aumann expectation. Some further consequences of these results are presented.
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页码：505 / 514
页数：9
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