In this chapter we discuss an important class of copulas known as Archimedean copulas. These copulas find a wide range of applications for a number of reasons: (1) The ease with which they can be constructed; (2) The great variety of families of copulas which belong to this class; and (3) The many nice properties possessed by the members of this class. As mentioned in the Introduction, Archimedean copulas originally appeared not in statistics, but rather in the study of probabilistic metric spaces, where they were studied as part of the development of a probabilistic version of the triangle inequality. For an account of this history, see [Schweizer (1991)] and the references cited therein.
KeywordsLevel Curve Level Curf Archimedean Copula Zero Curve Joint Distribution Function
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