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R. Helmersr
Centrum voor Wiskundee en Informatica (CWI), Amsterdam
Astronomy Chemistry Earth & Planetary Sciences Mathematics Physics

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Compound Sums and their Applications in Finance R. Helmersr; B. Tarigan
Journal of Mathematical and Fundamental Sciences Vol. 34 No. 2&3 (2002)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract

Compound sums arise frequently in insurance (total claim size in a portfolio) and in accountancy (total error amount in audit populations). As the normal approximation for compound sums usually performs very badly, one may look for better methods for approximating the distribution of a compound sum, e.g. the bootstrap or empirical Edgeworth / saddlepoint approimations. We sketch some recent developments and indicate their relevance in finance. Second, we propos and investigate a simple estimator of the probability of ruin in the Poisson risk model, for the special case where the claim sizes are assumed to be exponentially distributed.
Co-Authors B. Tarigan