A random set extension of a strong law of large numbers of Cantrell and Rosalsky

被引：1
|
作者：
Terán, P [1 ]
机构：
[1] Univ Zaragoza, Fac Econ & Business Sci, Zaragoza Multicriteria Decis Grp, E-50005 Zaragoza, Spain
来源：
STOCHASTIC ANALYSIS AND APPLICATIONS | 2005年 / 23卷 / 04期
关键词：
random set; strong law of large numbers;
D O I：
10.1081/SAP-200064472
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A strong law of large numbers under conditions irrespective of the joint distribution of the sequence is extended to random sets. The extension is such that the role of events of the form {vertical bar vertical bar V(n)vertical bar vertical bar <= b(n)} (where V-n is a random element of a separable Banach space) is played by events of the form {X-n subset of B-n} (where X-n is a random closed bounded set).
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页码：751 / 756
页数：6
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