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Asymptotic multivariate expectiles

Author

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  • V'eronique Maume-Deschamps

    (ICJ)

  • Didier Rulli`ere

    (SAF)

  • Khalil Said

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.

Suggested Citation

  • V'eronique Maume-Deschamps & Didier Rulli`ere & Khalil Said, 2017. "Asymptotic multivariate expectiles," Papers 1704.07152, arXiv.org, revised Jan 2018.
    • Handle: RePEc:arx:papers:1704.07152
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    File URL: http://arxiv.org/pdf/1704.07152
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    Cited by:

    1. Mustapha Rachdi & Ali Laksaci & Noriah M. Al-Kandari, 2022. "Expectile regression for spatial functional data analysis (sFDA)," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 85(5), pages 627-655, July.

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