Bounds for Trivariate Copulas with Given Bivariate Marginals

We determine two constructions that, starting with two bivariate copulas, give rise to new bivariate and trivariate copulas, respectively. These constructions are used to determine pointwise upper and lower bounds for the class of all trivariate copulas with given bivariate marginals.

Bibliographic Details
Format: Article
Language:English
Published: SpringerOpen 2009-03-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2008/161537
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spelling doaj-8620972df396477683487570c036f47d2020-11-25T00:26:47ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2009-03-01200810.1155/2008/161537Bounds for Trivariate Copulas with Given Bivariate MarginalsWe determine two constructions that, starting with two bivariate copulas, give rise to new bivariate and trivariate copulas, respectively. These constructions are used to determine pointwise upper and lower bounds for the class of all trivariate copulas with given bivariate marginals. http://dx.doi.org/10.1155/2008/161537
collection DOAJ
language English
format Article
sources DOAJ
title Bounds for Trivariate Copulas with Given Bivariate Marginals
spellingShingle Bounds for Trivariate Copulas with Given Bivariate Marginals
Journal of Inequalities and Applications
title_short Bounds for Trivariate Copulas with Given Bivariate Marginals
title_full Bounds for Trivariate Copulas with Given Bivariate Marginals
title_fullStr Bounds for Trivariate Copulas with Given Bivariate Marginals
title_full_unstemmed Bounds for Trivariate Copulas with Given Bivariate Marginals
title_sort bounds for trivariate copulas with given bivariate marginals
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2009-03-01
description We determine two constructions that, starting with two bivariate copulas, give rise to new bivariate and trivariate copulas, respectively. These constructions are used to determine pointwise upper and lower bounds for the class of all trivariate copulas with given bivariate marginals.
url http://dx.doi.org/10.1155/2008/161537
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