English

Multivariate extensions of expectiles risk measures

Methodology 2016-09-27 v1

Abstract

This paper is devoted to the introduction and study of a new family of multivariate elicitable risk measures. We call the obtained vector-valued measures multivariate expectiles. We present the different approaches used to construct our measures. We discuss the coherence properties of these multivariate expectiles. Furthermore, we propose a stochastic approximation tool of these risk measures.

Keywords

Cite

@article{arxiv.1609.07637,
  title  = {Multivariate extensions of expectiles risk measures},
  author = {Véronique Maume-Deschamps and Didier Rullière and Khalil Saïd},
  journal= {arXiv preprint arXiv:1609.07637},
  year   = {2016}
}

Comments

23 pages

R2 v1 2026-06-22T16:00:03.044Z