English

Asymptotic multivariate expectiles

Risk Management 2018-01-22 v2 Applications

Abstract

In [16], a new family of vector-valued risk measures called multivariate expectiles is introduced. In this paper, we focus on the asymptotic behavior of these measures in a multivariate regular variations context. For models with equivalent tails, we propose an estimator of these multivariate asymptotic expectiles, in the Fr{\'e}chet attraction domain case, with asymptotic independence, or in the comonotonic case.

Keywords

Cite

@article{arxiv.1704.07152,
  title  = {Asymptotic multivariate expectiles},
  author = {Véronique Maume-Deschamps and Didier Rullière and Khalil Said},
  journal= {arXiv preprint arXiv:1704.07152},
  year   = {2018}
}
R2 v1 2026-06-22T19:25:32.956Z