Bounds for Trivariate Copulas with Given Bivariate Marginals

<p>Abstract</p> <p>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 give...

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Bibliographic Details
Main Authors: Quesada-Molina Jos&#233;Juan, Durante Fabrizio, Klement ErichPeter
Format: Article
Language:English
Published: SpringerOpen 2008-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2008/161537
Description
Summary:<p>Abstract</p> <p>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.</p>
ISSN:1025-5834
1029-242X