As mentioned in the course on copulas, a nice tool to describe dependence it Kendall's cumulative function. Given a random pair with distribution  , define random variable . Then Kendall's cumulative function is Genest and Rivest (1993) intr... [Read more...]

Following the course, in order to define assocation measures (from Kruskal (1958)) or concordance measures (from Scarsini (1984)), define a concordance function as follows: let be a random pair with copula , and with copula . Then define the so-... [Read more...]

Kendall’s Tau This is an example of Kendall’s Tau rank correlation.  This is similar to Spearman’s Rho in that it is a non-parametric measure of correlation on ranks.  It is an appropriate measure for ordinal data and is fairly straight forward when there are no ties in ... [Read more...]