A Multivalued Strong Law of Large Numbers

被引：6
|
作者：
Teran, Pedro [1 ]
机构：
[1] Univ Oviedo, Escuela Politecn Ingn, Dept Estadist & IO & DM, Gijon 33071, Spain
来源：
JOURNAL OF THEORETICAL PROBABILITY | 2016年 / 29卷 / 02期
关键词：
Aumann expectation; Gap topology; Random closed set; Slice topology; RANDOM SETS; CONVERGENCE; WI[!text type='JS']JS[!/text]MAN;
D O I：
10.1007/s10959-014-0572-x
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：
We prove a strong law of large numbers for random closed sets in a separable Banach space. It improves upon and unifies the laws of large numbers with convergence in the Wijsman, Mosco and slice topologies, without requiring extra assumptions on either the properties of the space or the kind of sets that can be taken on by the random set as values.
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页码：349 / 358
页数：10
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