Gaussian approximation of conditional elliptical copulas

  • Authors:
  • Enkelejd Hashorva;Piotr Jaworski

  • Affiliations:
  • Department of Actuarial Science, University of Lausanne, Lausanne, Switzerland;Institute of Mathematics, University of Warsaw, Warszawa, Poland

  • Venue:
  • Journal of Multivariate Analysis
  • Year:
  • 2012

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Abstract

In this paper the limits of elliptical copulas under univariate conditioning are characterized, allowing for the conditioning random variable to have a rapidly varying tail. Further, we investigate the quality of approximation by imposing some weak asymptotic restrictions.