International Journal of Mathematics and Mathematical Sciences 
Volume 14 (1991), Issue 1, Pages 45-53
doi:10.1155/S0161171291000042

Some functionals for copulas

C. Alsina,1 A. Damas,2 and J. J. Quesada2

 1Departament de Matemàtiques i Estadistica, ETSAB, Universitat Politècnica de Catalunya, Barcelona 08028, Spain
2Departamento de Matemática Aplicada, Universidad de Granada, Granada 18071, Spain
Received 14 November 1989; Revised 8 April 1990

Abstract

In this paper we study some functionals operating on the set of the n-copulas defined on [0,1]n. Conditions under which such functionals are well defined are determined and some counterexamples are described. The study of the fixed points (n-copulas) for these functionals is also considered, and, finally, some open problems are presented.