On the Interrelation between Dependence Coefficients of Bivariate Extreme Value Copulas

A.V. Lebedev

2019, v.25, Issue 4, 639-648


For extreme value copulas with a known upper tail dependence coefficient we find
pointwise upper and lower bounds, which are used to establish upper and lower bounds
of Spearman's, Kendall's and Gini's correlation coefficients. We shown that in all cases the
lower bounds are attained on Marshall\tire Olkin copulas, and the upper ones, on copulas
with piecewise linear dependence functions.

Keywords: extreme value copulas, upper tail dependence coefficient, Spearman's correlation coefficient, Kendall's correlation coefficient, Gini's correlation coefficient


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