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Mean Square Error of Prediction in the Bornhuetter–Ferguson Claims Reserving Method

Published online by Cambridge University Press:  10 May 2011

D. H. Alai ,
M. Merz  and
M. V. Wüthrich
M. V. Wüthrich
Affiliation:
ETH Zurich, Department of Mathematics, 8092 Zurich, Switzerland., Email: mario.wuethrich@math.ethz.ch
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Abstract

The prediction of adequate claims reserves is a major subject in actuarial practice and science. Due to their simplicity, the chain ladder (CL) and Bornhuetter–Ferguson (BF) methods are the most commonly used claims reserving methods in practice. However, in contrast to the CL method, no estimator for the conditional mean square error of prediction (MSEP) of the ultimate claim has been derived in the BF method until now, and as such, this paper aims to fill that gap. This will be done in the framework of generalized linear models (GLM) using the (overdispersed) Poisson model motivation for the use of CL factor estimates in the estimation of the claims development pattern.

Keywords

Claims ReservingBornhuetter–FergusonOverdispersed Poisson DistributionChain Ladder MethodGeneralized Linear ModelsConditional Mean Square Error of Prediction
Type
Papers
Information
Annals of Actuarial Science , Volume 4 , Issue 1 , March 2009 , pp. 7 - 31
Copyright
Copyright © Institute and Faculty of Actuaries 2009

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