Abstract
For two risks, X and Y, the Marginal Expected Shortfall (MES) is defined as \(\mathbb {E}[Y\mid X>F_{X}^{\leftarrow }(1-p)]\), where FX is the distribution function of X and p is small. In this paper we establish consistency and asymptotic normality of an estimator of MES on assuming that (X, Y ) follows a Conditional Extreme Value (CEV) model. The theoretical findings are supported by simulation studies. Our procedure is applied to some financial data.
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The authors would like to thank all referees for their constructive comments.
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Kulik, R., Tong, Z. Estimation of the expected shortfall given an extreme component under conditional extreme value model. Extremes 22, 29–70 (2019). https://doi.org/10.1007/s10687-018-0333-9
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DOI: https://doi.org/10.1007/s10687-018-0333-9