On Two Estimates of a Risk Measure
Teoriâ veroâtnostej i ee primeneniâ, Tome 53 (2008) no. 1, pp. 168-172
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This paper studies the asymptotic behavior of two different empirical estimates of a certain risk measure (minimal V@R), a functional having the form MINVR@$R_{\alpha}(X)=-E\min(X_1,\dots,X_{\alpha})$, where $X_1,\dots,X_{\alpha} $ are independent copies of $X$.
Keywords: weighted V@R, coherent risk measure, minimal V@R, limit theorems for $L$-statistics.
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D. V. Orlov. On Two Estimates of a Risk Measure. Teoriâ veroâtnostej i ee primeneniâ, Tome 53 (2008) no. 1, pp. 168-172. http://geodesic.mathdoc.fr/item/TVP_2008_53_1_a10/

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