Freedom in constructing quasi-copulas vs. copulas

Fuente: arXiv
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Main Authors: Omladič, Matjaž, Stopar, Nik
Format: Preprint
Published: 2024
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author Omladič, Matjaž
Stopar, Nik
author_facet Omladič, Matjaž
Stopar, Nik
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2407_15393
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Freedom in constructing quasi-copulas vs. copulas
Omladič, Matjaž
Stopar, Nik
Statistics Theory
Primary 62H05, 60A99, Secondary 06B23
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.
title Freedom in constructing quasi-copulas vs. copulas
topic Statistics Theory
Primary 62H05, 60A99, Secondary 06B23
url https://arxiv.org/abs/2407.15393