A note on the σ-compactness of sets of probability measures on metric spaces

被引：0
|
作者：
Luque-Vasquez, Fernando [1 ]
Adolfo Minjarez-Sosa, J. [1 ]
机构：
[1] Univ Sonora, Dept Matemat, Hermosillo 83000, Sonora, Mexico
来源：
STATISTICS & PROBABILITY LETTERS | 2014年 / 84卷
关键词：
Measurable selection theorems; sigma-compactness; Probability measures; SELECTION THEOREMS;
D O I：
10.1016/j.spl.2013.10.015
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：
In this note we prove the sigma-compactness of a set of probability measures with finite expectation, defined on metric spaces. Our result is motivated by the problem of the existence of measurable selectors for multifunctions in decision problems where the action space is a set of probability measures. (C) 2013 Elsevier B.V. All rights reserved.
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页码：212 / 214
页数：3
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