Multivariate comonotonicity

  • Authors:
  • Giovanni Puccetti;Marco Scarsini

  • Affiliations:
  • Department of Mathematics for Decisions, University of Firenze, I-50134 Firenze, Italy;Dipartimento di Scienze Economiche e Aziendali, LUISS, Viale Romania 32, I-00197 Roma, Italy and HEC, Paris, France

  • Venue:
  • Journal of Multivariate Analysis
  • Year:
  • 2010

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Abstract

In this paper we consider several multivariate extensions of comonotonicity. We show that naive extensions do not enjoy some of the main properties of the univariate concept. In order to have these properties, more structures are needed than in the univariate case.