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A new class of bivariate distributions is introduced that extends theGeneralized Marshall-Olkin distributions of Li and Pellerey (2011). Theirdependence structure is studied through the analysis of the copula functionsthat they induce. These copulas, that include as special cases the GeneralizedMarshall-Olkin copulas and the Scale Mixture of Marshall-Olkin copulas (see Li,2009),are obtained through suitable distortions of bivariate Archimedeancopulas: this induces asymmetry, and the corresponding Kendall's tau as well asthe tail dependence parameters are studied.

Archimedean-based Marshall-Olkin Distributions and Related Copula Functions