Extremes for multivariate expectiles

Véronique Maume-Deschamps (veronique.maume@univ-lyon1.fr), Didier Rulliere (drulliere@mines-stetienne.fr) and Khalil Said (khalil.said@universite-lyon.fr)
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Véronique Maume-Deschamps: ICJ - Institut Camille Jordan - ECL - École Centrale de Lyon - Université de Lyon - UCBL - Université Claude Bernard Lyon 1 - Université de Lyon - INSA Lyon - Institut National des Sciences Appliquées de Lyon - Université de Lyon - INSA - Institut National des Sciences Appliquées - UJM - Université Jean Monnet - Saint-Étienne - CNRS - Centre National de la Recherche Scientifique, PSPM - Probabilités, statistique, physique mathématique - ICJ - Institut Camille Jordan - ECL - École Centrale de Lyon - Université de Lyon - UCBL - Université Claude Bernard Lyon 1 - Université de Lyon - INSA Lyon - Institut National des Sciences Appliquées de Lyon - Université de Lyon - INSA - Institut National des Sciences Appliquées - UJM - Université Jean Monnet - Saint-Étienne - CNRS - Centre National de la Recherche Scientifique
Khalil Said: ICJ - Institut Camille Jordan - ECL - École Centrale de Lyon - Université de Lyon - UCBL - Université Claude Bernard Lyon 1 - Université de Lyon - INSA Lyon - Institut National des Sciences Appliquées de Lyon - Université de Lyon - INSA - Institut National des Sciences Appliquées - UJM - Université Jean Monnet - Saint-Étienne - CNRS - Centre National de la Recherche Scientifique, PSPM - Probabilités, statistique, physique mathématique - ICJ - Institut Camille Jordan - ECL - École Centrale de Lyon - Université de Lyon - UCBL - Université Claude Bernard Lyon 1 - Université de Lyon - INSA Lyon - Institut National des Sciences Appliquées de Lyon - Université de Lyon - INSA - Institut National des Sciences Appliquées - UJM - Université Jean Monnet - Saint-Étienne - CNRS - Centre National de la Recherche Scientifique

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Abstract: Multivariate expectiles, a new family of vector-valued risk measures, were recently introduced in the literature. Here we investigate the asymptotic behavior of these measures in a multivariate regular variation context. For models with equivalent tails, we propose an estimator of extreme multivariate expectiles in the Fréchet domain of attraction case with asymptotic independence, or for comonotonic marginal distributions.

Keywords: Risk measures; multivariate expectiles; regular variations; extreme values; tail dependence functions (search for similar items in EconPapers)
Date: 2018-11-14
Note: View the original document on HAL open archive server: https://hal.science/hal-01923798v1
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Citations: View citations in EconPapers (2)

Published in Statistics & Risk Modeling with Applications in Finance and Insurance, 2018, 35 (3-4), pp.111-140. ⟨10.1515/strm-2017-0014⟩

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Journal Article: Extremes for multivariate expectiles (2018)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-01923798

DOI: 10.1515/strm-2017-0014

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