Groupe d’études et de recherche en analyse des décisions

# Testing for Equality Between Two Copulas

## Bruno Rémillard et Olivier Scaillet

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 Cram´er-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.

, 24 pages