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Asymptotic behavior of the empirical conditional value-at-risk

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  • Gao, Fuqing
  • Wang, Shaochen

Abstract

We study asymptotic behavior of the empirical conditional value-at-risk (CVaR). In particular, the Berry–Essen bound, the law of iterated logarithm, the moderate deviation principle and the large deviation principle for the empirical CVaR are obtained. We also give some numerical examples.

Suggested Citation

  • Gao, Fuqing & Wang, Shaochen, 2011. "Asymptotic behavior of the empirical conditional value-at-risk," Insurance: Mathematics and Economics, Elsevier, vol. 49(3), pages 345-352.
    • Handle: RePEc:eee:insuma:v:49:y:2011:i:3:p:345-352
    DOI: 10.1016/j.insmatheco.2011.05.007
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    References listed on IDEAS

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    Cited by:

    1. Dominique Guegan & Bertrand Hassani & Kehan Li, 2017. "Impact of multimodality of distributions on VaR and ES calculations," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01491990, HAL.
    2. Dominique Guegan & Bertrand Hassani & Kehan Li, 2017. "Impact of multimodality of distributions on VaR and ES calculations," Post-Print halshs-01491990, HAL.
    3. Dominique Guegan & Bertrand Hassani & Kehan Li, 2017. "Impact of multimodality of distributions on VaR and ES calculations," Documents de travail du Centre d'Economie de la Sorbonne 17019, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    4. Pierre Nyquist, 2013. "Moderate deviations for importance sampling estimators of risk measures," Papers 1306.6588, arXiv.org.
    5. Tadese, Mekonnen & Drapeau, Samuel, 2020. "Relative bound and asymptotic comparison of expectile with respect to expected shortfall," Insurance: Mathematics and Economics, Elsevier, vol. 93(C), pages 387-399.
    6. Li, Yizhou & Polak, Paweł, 2025. "Asymptotic normality of the Conditional Value-at-Risk based Pickands estimator," Statistics & Probability Letters, Elsevier, vol. 223(C).

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