Best-possible bounds on the set of copulas with a given value of Gini's gamma

In this note, pointwise best-possible (lower and upper) bounds on the set of copulas with a given value of the Gini’s gamma coefficient are established. It is shown that, unlike the best-possible bounds on the set of copulas with a given value of other known measures such as Kendall’s tau, Spearma...

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Autor principal: Úbeda Flores, Manuel
Formato: info:eu-repo/semantics/article
Idioma:English
Publicado em: 2023
Assuntos:
Acesso em linha:http://hdl.handle.net/10835/14925
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author Úbeda Flores, Manuel
author_facet Úbeda Flores, Manuel
author_sort Úbeda Flores, Manuel
collection DSpace
description In this note, pointwise best-possible (lower and upper) bounds on the set of copulas with a given value of the Gini’s gamma coefficient are established. It is shown that, unlike the best-possible bounds on the set of copulas with a given value of other known measures such as Kendall’s tau, Spearman’s rho or Blomqvist’s beta, the bounds found are not necessarily copulas, but proper quasi-copulas.
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spelling oai:repositorio.ual.es:10835-149252023-12-22T11:55:47Z Best-possible bounds on the set of copulas with a given value of Gini's gamma Úbeda Flores, Manuel Bounds copula Gini’s gamma quasi-copula In this note, pointwise best-possible (lower and upper) bounds on the set of copulas with a given value of the Gini’s gamma coefficient are established. It is shown that, unlike the best-possible bounds on the set of copulas with a given value of other known measures such as Kendall’s tau, Spearman’s rho or Blomqvist’s beta, the bounds found are not necessarily copulas, but proper quasi-copulas. 2023-12-22T11:55:47Z 2023-12-22T11:55:47Z 2022 info:eu-repo/semantics/article 1735-0654 http://hdl.handle.net/10835/14925 en Attribution-NonCommercial-NoDerivatives 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess
spellingShingle Bounds
copula
Gini’s gamma
quasi-copula
Úbeda Flores, Manuel
Best-possible bounds on the set of copulas with a given value of Gini's gamma
title Best-possible bounds on the set of copulas with a given value of Gini's gamma
title_full Best-possible bounds on the set of copulas with a given value of Gini's gamma
title_fullStr Best-possible bounds on the set of copulas with a given value of Gini's gamma
title_full_unstemmed Best-possible bounds on the set of copulas with a given value of Gini's gamma
title_short Best-possible bounds on the set of copulas with a given value of Gini's gamma
title_sort best-possible bounds on the set of copulas with a given value of gini's gamma
topic Bounds
copula
Gini’s gamma
quasi-copula
url http://hdl.handle.net/10835/14925
work_keys_str_mv AT ubedafloresmanuel bestpossibleboundsonthesetofcopulaswithagivenvalueofginisgamma