Matrix representation of meet-irreducible discrete copulas
Following AguilSuerTorrens (2008), KolesrovMesiarMordelovSempi (2006) and MayorSuerTorrens (2005), we continue to develop a theory of matrix representation for discrete copulas. To be more precise, we give characterizations of meet-irreducible discrete copulas from an order-theoretical aspect: we show that the set of all irreducible discrete copulas is a lattice in analogy with Nelsen and beda-Flores (2005). Moreover, we clarify its lattice structure related to Kendall?s ? and Spearman?s ? borrowing ideas from Coxeter groups.
discrete copulas lattice coxeter group permutation matrices alternating sign matrices kendall spearman