Abstract
We introduce and discuss a general method for constructing bivariate Archimedean copula families. The central item in our method is the function (t ∈ [0, 1]), where ϕ is the generator of the Archimedean copula. The construction of new copulas by means of λ has several advantages. The most important one is the straightforward relationship between the λ function and Kendall's τ and the coefficients of upper and lower tail dependence λ L and λ U , as defined in Joe (1997), which makes it possible to use these quantities as copula parameters and to control them independently of each other. Furthermore, the λ-method allows to construct multi-parameter families in a clear and organized way. The methodology is explained and illustrated by two- and three-parameter copula families.
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