On the Size of Subclasses of Quasi-Copulas and Their Dedekind–MacNeille Completion

Fabrizio Durante, Juan Fernández-Sánchez, Wolfgang Trutschnig and Manuel Úbeda-Flores
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Fabrizio Durante: Dipartimento di Scienze dell’Economia, Università del Salento, 73100 Lecce, Italy
Juan Fernández-Sánchez: Research Group of Theory of Copulas and Applications, University of Almería, 04120 Almería, Spain
Wolfgang Trutschnig: Department for Mathematics, University of Salzburg, A-5020 Salzburg, Austria
Manuel Úbeda-Flores: Department of Mathematics, University of Almería, 04120 Almería, Spain

Mathematics, 2020, vol. 8, issue 12, 1-11

Abstract: We study some topological properties of the class of supermodular n -quasi-copulas and check that the topological size of the Dedekind–MacNeille completion of the set of n -copulas is small, in terms of the Baire category, in the Dedekind–MacNeille completion of the set of the supermodular n -quasi-copulas, and in turn, this set and the set of n -copulas are small in the set of n -quasi-copulas.

Keywords: copula; Dedekind–MacNeille completion; quasi-copula; supermodularity (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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