Nested Archimedean Copulas Meet R: The nacopula Package

The package copula (formerly nacopula) provides procedures for constructing nested Archimedean copulas in any dimensions and with any kind of nesting structure, generat-ing vectors of random variates from the constructed objects, computing function values and probabilities of falling into hypercubes, as well as evaluation of characteristics such as Kendall’s tau and the tail-dependence coefficients. As by-products, algorithms for various distributions, including exponentially tilted stable and Sibuya distributions, are implemented. Detailed examples are given