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Document Details :

Title: Allowance for the Age of Claims in Bonus-Malus Systems
Author(s): PINQUET, J. , GUILLÉN, M. , BOLANCÉ, C.
Journal: ASTIN Bulletin
Volume: 31    Issue: 2   Date: November 2001   
Pages: 337-348
DOI: 10.2143/AST.31.2.1009

Abstract :
The purpose of the paper is to use the age of claims in the prediction of risks. A dynamic random effects model on longitudinal count data is presented, and estimated on the portfolio of a major Spanish insurance company. The estimated autocorrelation coefficients of stationary random effects are decreasing. A consequence is that the predictive ability of a claim decreases with the lag between the period of risk prediction and the period of occurrence. There is a wide gap between the long term properties of actuarial and real-world experience rating schemes. This gap can be partly filled if the age of claims is taken into account in the actuarial model.