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
Tutte le persone interessate sono invitate ad intervenire
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