Asymmetry of copulas with a given opposite diagonal sectionKokol-Bukovšek, Damjana (Avtor) Mojškerc, Blaž (Avtor) Stopar, Nik (Avtor) mathematical statisticsmathematical analysismathematical methodscopulasopposite diagonal sectionasymmetrydistributionIn this paper we investigate bivariate copulas with a given opposite diagonal section. We determine the exact lower bound for all such copulas and derive an explicit formula for the maximal asymmetry for copulas with a given opposite diagonal section. As a special case, we consider the situation when the opposite diagonal section is symmetric and unimodal, which is true in many applications. To obtain our results, we also calculate the maximal asymmetry of all distributions with fixed marginals, which is an interesting result by itself.20252025-10-28 09:25:12Članek v reviji175452sl