In economics, rank-size regressions provide popular estimators of tail exponents of heavy-tailed distributions. We discuss the properties of this approach when the tail of the distribution is regularly varying rather than strictly Pareto. The estimator then over-estimates the true value in the...

This paper suggests a goodness-of-fit test for parametric families of Archimedean copulas for high dimensional distributions. The test statistic is based on the classical chi-square-statistic but has a nonstandard asymptotic distribution. Monte-Carlo simulations show that the test keeps the...