Before revision:  An ASP is defined over a finite time horizon and,a priori , its terminal value has an \ell_1-norm symmetric distribution and an Archimedean survival copula . Indeed, there is a bijection between the class of Archimedean copulas and the class of ASPs . The finite-dimensional distributions of an ASP are of multivariate Liouville-type.
After revision:  An ASP is defined over a finite time horizon and,a priori , its terminal value has an \ell_1-norm symmetric distribution and an Archimedean survival copula , and there exists a bijection from the class of Archimedean copulas and the class of ASPs . The finite-dimensional distributions of an ASP are of multivariate Liouville-type.