Geodesic
Copulas with given values on a horizontal and a vertical section
Kybernetika, Tome 43 (2007) no. 2, pp. 209-220

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In this paper we study the set of copulas for which both a horizontal section and a vertical section have been given. We give a general construction for copulas of this type and we provide the lower and upper copulas with these sections. Symmetric copulas with given horizontal section are also discussed, as well as copulas defined on a grid of the unit square. Several examples are presented.
Classification : 60E05, 62H05
Keywords: copula; horizontal section; vertical section; binary aggregation operator 
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     title = {Copulas with given values on a horizontal and a vertical section},
     journal = {Kybernetika},
     pages = {209--220},
     publisher = {mathdoc},
     volume = {43},
     number = {2},
     year = {2007},
     mrnumber = {2343396},
     zbl = {1140.62322},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2007__43_2_a7/}
}
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Durante, Fabrizio; Kolesárová, Anna; Mesiar, Radko; Sempi, Carlo. Copulas with given values on a horizontal and a vertical section. Kybernetika, Tome 43 (2007) no. 2, pp. 209-220. http://geodesic.mathdoc.fr/item/KYB_2007__43_2_a7/