A Multivalued Strong Law of Large Numbers

Pedro Terán ()
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Pedro Terán: Universidad de Oviedo

Journal of Theoretical Probability, 2016, vol. 29, issue 2, 349-358

Abstract: Abstract 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.

Keywords: Aumann expectation; Gap topology; Random closed set; Slice topology; 60F15; 60D05 (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s10959-014-0572-x

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