Please use this identifier to cite or link to this item: http://cmuir.cmu.ac.th/jspui/handle/6653943832/60988
Title: On topological properties of the Choquet weak convergence of capacity functionals of random sets
Authors: S. Dhompongsa
A. Kaewkhao
S. Saejung
Keywords: Computer Science
Decision Sciences
Engineering
Mathematics
Issue Date: 15-Apr-2007
Abstract: In view of the recent interests in random sets in information technology, such as models for imprecise data in intelligent systems, morphological analysis in image processing, we present, in this paper, some contributions to the foundation of random set theory, namely, a complete study of topological properties of capacity functionals of random sets, generalizing weak convergence of probability measures. These results are useful for investigating the concept of Choquet weak convergence of capacity functionals leading to tractable criteria for convergence in distribution of random sets. The weak topology is defined on the space of all capacity functionals on Rd. We show that this topological space is separable and metrizable. © 2006 Elsevier Inc. All rights reserved.
URI: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=33846624765&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/60988
ISSN: 00200255
Appears in Collections:CMUL: Journal Articles

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