Bounds for Trivariate Copulas with Given Bivariate Marginals
Metadatos
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Springer Open; Hindawi Publishing
Materia
Trivariate copulas
Fecha
2008Referencia bibliográfica
Durante, F.; Klement, E.P.; Quesada-Molina, J.J. Bounds for Trivariate Copulas with Given Bivariate Marginals. Journal of Inequalities and Applications, 2008: 161537 (2008). [http://hdl.handle.net/10481/32915]
Patrocinador
The third author acknowledges the support by the Ministerio de Educación y Ciencia (Spain) and FEDER, under research project MTM2006-12218. This work has been partially supported by the bilateral cooperation Austria-Spain WTZ—“Acciones Integradas 2008/2009”, in the framework of the project Constructions of Multivariate Statistical Models with Copulas (Project ES04/2008).Resumen
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.