English

Conditional empirical copula processes and generalized dependence measures

Statistics Theory 2020-08-24 v1 Statistics Theory

Abstract

We study the weak convergence of conditional empirical copula processes, when the conditioning event has a nonzero probability. The validity of several bootstrap schemes is stated, including the exchangeable bootstrap. We define general - possibly conditional - multivariate dependence measures and their estimators. By applying our theoretical results, we prove the asymptotic normality of some estimators of such dependence measures.

Keywords

Cite

@article{arxiv.2008.09480,
  title  = {Conditional empirical copula processes and generalized dependence measures},
  author = {Alexis Derumigny and Jean-David Fermanian},
  journal= {arXiv preprint arXiv:2008.09480},
  year   = {2020}
}

Comments

29 pages, 4 figures

R2 v1 2026-06-23T18:01:08.309Z