Noppadon Kamnitui, Juan Fernández-Sánchez, Wolfgang Trutschnig
March 2, 2018
Motivated by the nice characterization of copulas A for which d ∞ (A, A t ) is maximal as established independently by Nelsen  and Klement & Mesiar , we study maximum asymmetry with respect to the conditioning-based metric D 1 going back to Trutschnig . Despite the fact that D 1 (A, A t ) is generally not straightforward to calculate, it is possible to provide both, a characterization and a handy representation of all copulas A maximizing D 1 (A, A t ). This representation is then used to prove the existence of copulas with full support maximizing D 1 (A, A t ). A comparison of D 1 - and d ∞ -asymmetry including some surprising examples rounds off the paper.