Two families of fuzzy integrals
Fuzzy Sets and Systems
Relations among univariate aging, bivariate aging and dependence for exchangeable lifetimes
Journal of Multivariate Analysis
An Introduction to Copulas (Springer Series in Statistics)
An Introduction to Copulas (Springer Series in Statistics)
On a class of transformations of copulas and quasi-copulas
Fuzzy Sets and Systems
On a class of transformations of copulas and quasi-copulas
Fuzzy Sets and Systems
Semi-copulas, capacities and families of level sets
Fuzzy Sets and Systems
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In some past works by the author and collaborators, the notion of ageing function of an exchangeable survival model was introduced and several properties of it were analyzed. Generally, the ageing function turns out to be a semi-copula. Here we focus attention on the special class of survival models whose ageing function is actually a copula. For pairs of models in this class we define a notion of duality. Such a notion can provide a better explanation of the analogies existing between the ageing function and the survival copula. The formulation of the notion of duality presented here came out some years ago, in the frame of research activity in collaboration with Bruno Bassan.