Il Prof. Radko Mesiar (STU Bratislava) terrà un seminario sul tema *On the role of ultramodularity (and Schur concavity) in the construction of binary copulas*

Il prossimo Venerdì 2 ottobre, ore 14:30, presso l'Aula di Consiglio del Dipartimento di Matematica dell'Universita' La Sapienza

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Fabio Spizzichino

*Abstract. * We discuss and stress the role of ultramodularity in special types of constructions of binary copulas. After recalling of some known ultamodularity-based results, we focus on a the so-called D-product of a copula and its dual. We show that for each copula D which is ultramodular and Schur concave on the left upper triangle of the unit square, this D-product of an arbitrary copula and its dual is again a copula. Several examples and counterexamples are given. Finally, some of our results are generalized to the case of semicopulas and quasi-copulas. Work in collaboration with E. P. Klement, A. Kolesarova and S. Saminger-Platz