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Freedom in constructing quasi-copulas vs. copulas

2024/07/22 by Matjaž Omladič, Omladič, Matjaž, Nik Stopar +1
Computer Science · #Coding theory and cryptography #Cellular Automata and Applications

paper · pdf · doi:10.48550/arxiv.2407.15393

Abstract

The main goal of this paper is to study the extent of freedom one has in constructing quasi-copulas vs. copulas. Specifically, it exhibits three construction methods for quasi-copulas based on recent developments: a representation of multivariate quasi-copulas by means of infima and suprema of copulas, an extension of a classical result on shuffles of min to the setting of quasi-copulas, and a construction method for quasi-copulas obeying a given signed mass pattern on a patch.

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