Sensitivity of risk measures with respect to the normal approximation of total claim distributions

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<title>Sensitivity of risk measures with respect to the normal approximation of total claim distributions</title>
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<abstract displayLabel="Summary">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. </abstract>
<note type="statement of responsibility">V. Krätschmer, H. Zähle</note>
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<topic>Seguro colectivo</topic>
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<title>Insurance : mathematics and economics</title>
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<publisher>Oxford : Elsevier, 1990-</publisher>
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<identifier type="issn">0167-6687</identifier>
<identifier type="local">MAP20077100574</identifier>
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<text>01/11/2011 Tomo 49 Número 3  - 2011 , p. 335-344</text>
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