On strong laws of large numbers for random upper semicontinuous functions
type: Item
instance of: scholarly article
title: On strong laws of large numbers for random upper semicontinuous functions
zbMATH Open document ID: 0959.60003
published in: Journal of Mathematical Analysis and Applications
publication date: 1999-10-25T00:00:00Z
review text: The author proves a strong law of large numbers for random upper semicontinuous functions. The convergence refers to a metric that is intimately related to the Hausdorff distance between level sets. The result can be applied in the theory of fuzzy sets.
Mathematics Subject Classification ID: 60D05
zbMATH DE Number: 1332894
zbMATH Keywords: strong law of large numbers
zbMATH Keywords: random closed set
zbMATH Keywords: Aumann expectation
zbMATH Keywords: upper semicontinuous function
zbMATH Keywords: fuzzy set
author: Ilya S. Molchanov
MaRDI profile type: Publication
full work available at URL: jmaa.1999.6403
OpenAlex ID: W2005094217
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DOI: 10.1006/JMAA.1999.6403
description: scientific article; zbMATH DE number 1332894