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.
Main Authors: | , , |
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Format: | info:eu-repo/semantics/article |
Language: | English |
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2023
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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 |
id | oai:repositorio.ual.es:10835-14927 |
institution | Universidad de Cuenca |
language | English |
publishDate | 2023 |
record_format | dspace |
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 |