On families of bivariate copulas and their interrelation with the Hilbert space l2 and the Hilbert cube H

Juan Fernández Sánchez, Wolfgang Trutschnig

The Markov kernel based metric $D_1$ was introduced in 2011 in order to construct the scale-invariant dependence measure ${\zeta }_1$, which assign each bivariate copula $C$ a dependence…