Model Uncertainty in Claims Reserving within Tweedie's Compound Poisson Models

Gareth W. Peters, Pavel V. Shevchenko, Mario V. Wüthrich

Research output: Contribution to journalArticle

Abstract

In this paper we examine the claims reserving problem using Tweedie's compound Poisson model. We develop the maximum likelihood and Bayesian Markov chain Monte Carlo simulation approaches to fit the model and then compare the estimated models under different scenarios. The key point we demonstrate relates to the comparison of reserving quantities with and without model uncertainty incorporated into the prediction. We consider both the model selection problem and the model averaging solutions for the predicted reserves. As a part of this process we also consider the sub problem of variable selection to obtain a parsimonious representation of the model being fitted.
Original languageEnglish
Pages (from-to)1-33
Number of pages33
JournalASTIN Bulletin: The Journal of the IAA
Volume39
DOIs
Publication statusPublished - May 2009

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