Modeling multivariate distributions with continuous margins using the copula R package

The copula-based modeling of multivariate distributions with continuous margins is presented as a succession of rank-based tests: a multivariate test of randomness followed by a test of mutual independence and a series of goodness-of-fit tests. all the tests under consideration are based on the empirical copula,which is a nonparametric rank-based estimator of the true unknown copula. the principles of the tests are recalled and their implementation in the copula r package is briefly described. their use in the construction of a copula model from data is thoroughly illustrated on real insurance and financial data.