Supports of quasi-copulas

Fuente: arXiv
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Autori principali: Fernández-Sánchez, Juan, Quesada-Molina, José Juan, Úbeda-Flores, Manuel
Natura: Preprint
Pubblicazione: 2025
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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
contents It is known that for every $s\in]1,2[$ 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 Preprint
id arxiv_https___arxiv_org_abs_2501_08938
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Supports of quasi-copulas
Fernández-Sánchez, Juan
Quesada-Molina, José Juan
Úbeda-Flores, Manuel
Dynamical Systems
Probability
60E05, 62E10
It is known that for every $s\in]1,2[$ 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.
title Supports of quasi-copulas
topic Dynamical Systems
Probability
60E05, 62E10
url https://arxiv.org/abs/2501.08938