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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 4, Pages 645-655
doi:10.1155/IJMMS.2005.645

Copula and semicopula transforms

Fabrizio Durante and Carlo Sempi

Dipartimento di Matematica “Ennio De Giorgi”, Università di Lecce, Lecce 73100, Italy

Abstract

We characterize the transformation, defined for every copula C, by Ch(x,y):=h[−1](C(h(x),h(y))), where x and y belong to [0,1] and h is a strictly increasing and continuous function on [0,1]. We study this transformation also in the class of quasi-copulas and semicopulas.