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On the covariance of the asymptotic empirical copula process

Statistics Theory 2010-03-17 v2 Statistics Theory

Abstract

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.

Keywords

Cite

@article{arxiv.0903.3330,
  title  = {On the covariance of the asymptotic empirical copula process},
  author = {Christian Genest and Johan Segers},
  journal= {arXiv preprint arXiv:0903.3330},
  year   = {2010}
}

Comments

14 pages, 2 figures