Authors: Berghaus, Betina
Bücher, Axel
Volgushev, Stanislav
Title: Weak convergence of the empirical copula process with respect to weighted metrics
Language (ISO): en
Abstract: The empirical copula process plays a central role in the asymptotic analysis of many statistical procedures which are based on copulas or ranks. Among other applications, results regarding its weak convergence can be used to develop asymptotic theory for estimators of dependence measures or copula densities, they allow to derive tests for stochastic independence or specific copula structures, or they may serve as a fundamental tool for the analysis of multivariate rank statistics. In the present paper, we establish weak convergence of the empirical copula process (for observations that are allowed to be serially dependent) with respect to weighted supremum distances. The usefulness of our results is illustrated by applications to general bivariate rank statistics and to estimation procedures for the Pickands dependence function arising in multivariate extreme-value theory.
Subject Headings: empirical copula process
Pickands dependence function
bivariate rank statistics
strongly mixing
weighted weak convergence
URI: http://hdl.handle.net/2003/33701
http://dx.doi.org/10.17877/DE290R-6729
Issue Date: 2014
Appears in Collections:Sonderforschungsbereich (SFB) 823

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