Geodesic
How non-symmetric can a copula be?
Commentationes Mathematicae Universitatis Carolinae, Tome 47 (2006) no. 1, pp. 141-148

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A two-place function measuring the degree of non-symmetry for (quasi-)co\-pu\-las is considered. We construct copulas which are maximally non-symmetric on certain subsets of the unit square. It is shown that there is no copula (and no quasi-copula) which is maximally non-symmetric on the whole unit square.
Classification : 62E10, 62H05
Keywords: copula; quasi-copula; symmetry; opposite diagonal 
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Klement, Erich Peter; Mesiar, Radko. How non-symmetric can a copula be?. Commentationes Mathematicae Universitatis Carolinae, Tome 47 (2006) no. 1, pp. 141-148. http://geodesic.mathdoc.fr/item/CMUC_2006__47_1_a11/