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Testing for equality between two copulas

By Bruno Rémillard and Olivier Scaillet

Abstract

We develop a test of equality between two dependence structures estimated through empirical copulas. We provide inference for independent or paired samples. The multiplier central limit theorem is used for calculating p-values of the Cramer-von Mises test statistic. Finite sample properties are assessed with Monte Carlo experiments. We apply the testing procedure on empirical examples in finance, psychology, insurance and medicine.primary, 60F05 secondary, 62E20 Copula Cramer-von Mises statistic Empirical process Pseudo-observations Multiplier central limit theorem p-value

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