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Sensitivity of risk measures with respect to the normal approximation of total claim distributions
Recurso electrónico / electronic resource
MAP20110070465
Krätschmer, V. ‌
Sensitivity of risk measures with respect to the normal approximation of total claim distributions / V. Krätschmer, H. Zähle
Sumario: A simple and commonly used method to approximate the total claim distribution of a (possibly weakly dependent) insurance collective is the normal approximation. ln this article, we investigate the error made when the normal approximation is plugged in a fairly general distribution-invariant risk measure. We focus on the rate of convergence of the error relative to the number of clients. We specify the relative error's asymptotic distribution, and we illustrate our results by means of a numerical example. Regarding the risk measure, we take into account distortion risk measures as well as distribution-invariant coherent risk measures.
En: Insurance : mathematics and economics. - Oxford : Elsevier, 1990- = ISSN 0167-6687. - 01/11/2011 Tomo 49 Número 3 - 2011 , p. 335-344
1. Seguro colectivo ‌. 2. Matemática del seguro ‌. 3. Aproximación matemática ‌. 4. Reclamaciones ‌.