Constructing and generalizing multivariate copulas: a generalizing approach

Recently, Liebscher (2006) introduced a general construction scheme of d-variate copulas which generalizes the Archimedean family. Similarly, Morillas (2005) proposed a method to obtain a variety of new copulas from a given d-copula. Both approaches coincide only for the particular subclass of Archimedean copulas. Within this work we present a unifying framework which includes both Liebscher and Morillas copulas as special cases. Above that, more general copulas may be constructed. First examples are given.