Abstract
AbstractIn the present paper we discuss error bounds for approximations to aggregate claims distributions. We consider approximations to convolutions by approximating each of the distributions and taking the convolution of these approximations. For compound distributions we consider two classes of approximations. In the first class we approximate the counting distribution, but keep the severity distribution unchanged, whereas in the second class we approximate the severity distribution, but keep the counting distribution unchanged. We finally look at some examples.
Publisher
Cambridge University Press (CUP)
Subject
Economics and Econometrics,Finance,Accounting
Reference8 articles.
1. Error bounds for the compound Poisson approximation;Gerber;Insurance: Mathematics and Economics,1984
2. Error Bounds for Compound Poisson Approximations of the Individual Risk Model
3. On approximating distributions by approximating their De Pril transforms;Dhaene;Scandinavian Actuarial Journal,1996
4. Some Inequalities for Stop-Loss Premiums
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