Constructions of copulas with given diagonal (and opposite diagonal) sections and some generalizations

We review various methods for constructing bivariate copulas with given diagonal sections from seminal work to the most recent research on copulas with given diagonal and opposite diagonal sections. A survey on a generalization of copulas with given diagonal plane sections in higher dimensions and o...

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Main Authors: Fernández-Sánchez Juan, Úbeda-Flores Manuel
Format: Article
Language:English
Published: De Gruyter 2018-06-01
Series:Dependence Modeling
Subjects:
Online Access:https://doi.org/10.1515/demo-2018-0009
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author Fernández-Sánchez Juan
Úbeda-Flores Manuel
author_facet Fernández-Sánchez Juan
Úbeda-Flores Manuel
author_sort Fernández-Sánchez Juan
collection DOAJ
description We review various methods for constructing bivariate copulas with given diagonal sections from seminal work to the most recent research on copulas with given diagonal and opposite diagonal sections. A survey on a generalization of copulas with given diagonal plane sections in higher dimensions and other sections that generalize the diagonal and opposite diagonal sections is of particular interest.
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spelling doaj.art-35e9a663244f4838b6034d241c4ae39a2022-12-21T17:43:11ZengDe GruyterDependence Modeling2300-22982018-06-016113915510.1515/demo-2018-0009demo-2018-0009Constructions of copulas with given diagonal (and opposite diagonal) sections and some generalizationsFernández-Sánchez Juan0Úbeda-Flores Manuel1Research Group of Mathematical Analysis, University of Almería, 04120 Almería, SpainDepartment of Mathematics, University of Almería, 04120 Almería, SpainWe review various methods for constructing bivariate copulas with given diagonal sections from seminal work to the most recent research on copulas with given diagonal and opposite diagonal sections. A survey on a generalization of copulas with given diagonal plane sections in higher dimensions and other sections that generalize the diagonal and opposite diagonal sections is of particular interest.https://doi.org/10.1515/demo-2018-0009copuladiagonal sectiontrack sectionprimary 60e05secondary 62e10
spellingShingle Fernández-Sánchez Juan
Úbeda-Flores Manuel
Constructions of copulas with given diagonal (and opposite diagonal) sections and some generalizations
Dependence Modeling
copula
diagonal section
track section
primary 60e05
secondary 62e10
title Constructions of copulas with given diagonal (and opposite diagonal) sections and some generalizations
title_full Constructions of copulas with given diagonal (and opposite diagonal) sections and some generalizations
title_fullStr Constructions of copulas with given diagonal (and opposite diagonal) sections and some generalizations
title_full_unstemmed Constructions of copulas with given diagonal (and opposite diagonal) sections and some generalizations
title_short Constructions of copulas with given diagonal (and opposite diagonal) sections and some generalizations
title_sort constructions of copulas with given diagonal and opposite diagonal sections and some generalizations
topic copula
diagonal section
track section
primary 60e05
secondary 62e10
url https://doi.org/10.1515/demo-2018-0009
work_keys_str_mv AT fernandezsanchezjuan constructionsofcopulaswithgivendiagonalandoppositediagonalsectionsandsomegeneralizations
AT ubedafloresmanuel constructionsofcopulaswithgivendiagonalandoppositediagonalsectionsandsomegeneralizations