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Partial and average copulas and association measures

Partial and average copulas and association measures

For a pair $(Y_{1},Y_{2})$ of random variables there exist several measures of association that characterize the dependence between $Y_{1}$ and $Y_{2}$ by means of one single value. Classical examples are Pearson's correlation coefficient, Kendall's tau and Spearman's rho. For the situation where next to the pair $(Y_{1},Y_{2})$ there is also …