Supports of quasi-copulas

It is known that for every s∈]1, 2[there is a copula whose support is a self-similar fractal set with Hausdorff —and box-counting— dimension s. In this paper we provide similar results for (proper) quasi-copulas, in both the bivariate and multivariate cases.

Bibliographic Details
Main Authors: Fernández Sánchez, Juan, Quesada Molina, José Juan, Úbeda Flores, Manuel
Format: info:eu-repo/semantics/article
Language:English
Published: 2023
Subjects:
Online Access:https://www.sciencedirect.com/science/article/pii/S0165011423000441
http://hdl.handle.net/10835/14927
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author Fernández Sánchez, Juan
Quesada Molina, José Juan
Úbeda Flores, Manuel
author_facet Fernández Sánchez, Juan
Quesada Molina, José Juan
Úbeda Flores, Manuel
author_sort Fernández Sánchez, Juan
collection DSpace
description It is known that for every s∈]1, 2[there is a copula whose support is a self-similar fractal set with Hausdorff —and box-counting— dimension s. In this paper we provide similar results for (proper) quasi-copulas, in both the bivariate and multivariate cases.
format info:eu-repo/semantics/article
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language English
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spelling oai:repositorio.ual.es:10835-149272023-12-22T12:02:42Z Supports of quasi-copulas Fernández Sánchez, Juan Quesada Molina, José Juan Úbeda Flores, Manuel Copula Hausdorff dimension Quasi-copula Self-similarity Support It is known that for every s∈]1, 2[there is a copula whose support is a self-similar fractal set with Hausdorff —and box-counting— dimension s. In this paper we provide similar results for (proper) quasi-copulas, in both the bivariate and multivariate cases. 2023-12-22T12:02:42Z 2023-12-22T12:02:42Z 2023 info:eu-repo/semantics/article 0165-0114 https://www.sciencedirect.com/science/article/pii/S0165011423000441 http://hdl.handle.net/10835/14927 10.1016/j.fss.2023.02.007 en Attribution-NonCommercial-NoDerivatives 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess
spellingShingle Copula
Hausdorff dimension
Quasi-copula
Self-similarity
Support
Fernández Sánchez, Juan
Quesada Molina, José Juan
Úbeda Flores, Manuel
Supports of quasi-copulas
title Supports of quasi-copulas
title_full Supports of quasi-copulas
title_fullStr Supports of quasi-copulas
title_full_unstemmed Supports of quasi-copulas
title_short Supports of quasi-copulas
title_sort supports of quasi-copulas
topic Copula
Hausdorff dimension
Quasi-copula
Self-similarity
Support
url https://www.sciencedirect.com/science/article/pii/S0165011423000441
http://hdl.handle.net/10835/14927
work_keys_str_mv AT fernandezsanchezjuan supportsofquasicopulas
AT quesadamolinajosejuan supportsofquasicopulas
AT ubedafloresmanuel supportsofquasicopulas