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Absolutely Continuous Copulas with Given Diagonal Sections
Authors:Fabrizio Durante  Piotr Jaworski
Affiliation:1. Department of Knowledge-Based Mathematical Systems , Johannes Kepler University , Linz, Austria fabrizio.durante@jku.at;3. Institute of Mathematics, Warsaw University , Warszawa, Poland
Abstract:Necessary and sufficient conditions are given in order to ensure that a function δ:[0, 1] → [0, 1] is the diagonal section of an absolutely continuous copula. Explicit constructions are provided.
Keywords:Copula  Diagonal section  Tail dependence
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