Develops sharp bounds on non-exchangeability, convex mixing constructions for prescribed asymmetry, and a consistent nonparametric permutation test for exchangeability in bivariate copulas.
Billingsley (1999).Convergence of Probability Measures
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Quantitative analysis of non-exchangeability in bivariate copulas: Sharp bounds, statistical tests and mixing constructions
Develops sharp bounds on non-exchangeability, convex mixing constructions for prescribed asymmetry, and a consistent nonparametric permutation test for exchangeability in bivariate copulas.