-measure of non-exchangeability for bivariate extreme value and Archimax copulas

In the class of bivariate extreme value copulas, an upper bound is calculated for the measure of non-exchangeability μ ∞ based on the L ∞ -norm distance between a copula C and its transpose C t ( x , y ) = C ( y , x ) . Copulas that are maximally non-exchangeable with respect to μ ∞ are also determined. Moreover, similar upper bounds are given, respectively, for the class of all EV copulas having a fixed upper tail dependence coefficient and for the larger class of Archimax copulas.