Archimedean copulas are one of the most popular models used in finance, hydrology, etc. The construction of these models are of a great importance due to their flexible dependence structure. Several methods of producing these families have been studied such as Marshall-Olkin, Williamson-d-transform, frailty models, utility functions, Laplace transform and distortion function. In this article we study these construction methods and reveal their properties in bivariate and multivariate cases by considering the fact that these methods may intersect.

Keywords