Conditions are given under which the empirical copula process associated with a random sample from a bivariate continuous distribution has a smaller asymptotic covariance function than the standard empirical process based on observations from the copula. Illustrations are provided and consequences for inference are outlined.
Affiliations
Université de LavalDépartement de mathématique et de statistique
Genest, C., & Segers, J. (2009). On the covariance of the asymptotic empirical copula process (STAT Discussion Paper 0906). https://hdl.handle.net/2078.5/33849