EXTENDING DARSOW’S OPERATOR: A NEW FRAMEWORK FOR BIVARIATE AND MULTIVARIATE COPULAS

The Darsow product operator typically produces symmetric copulas unless one or more of the base copulas are asymmetric, which limits its applicability in scenarios where the data exhibit asymmetry. In this paper, we introduce a novel extension of the Darsow å-product operator that allows for the generation of more flexible asymmetric copulas which can be max-stable from symmetric base copulas (max-stables). We also provide some examples, explore properties of this new operator, and discuss its multivariate generalization.