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A Random Set Extension of a Strong Law of Large Numbers of Cantrell and Rosalsky
Author:
Pedro Ter
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| Affiliation: | a Faculty of Economics and Business Sciences, Zaragoza Multicriteria Decision Group, University of Zaragoza, Zaragoza, Spain |
DOI:
10.1081/SAP-200064472
Publication Frequency:
6 issues per year
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Abstract
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
 ||Vn|| ≤ bn (where Vn is a random element of a separable Banach space) is played by events of the form Xn ⊂ Bn (where Xn is a random closed bounded set).
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| Keywords: Random set; Strong law of large numbers |
| Mathematics Subject Classification: Primary 60F15; Secondary 60D05 |
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