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Two Credibility Regression Approaches for the Classification of Passenger Cars in a Multiplicative Tariff1

Published online by Cambridge University Press:  29 August 2014

Bjørn Sundt
Bjørn Sundt*
Affiliation:
Storebrand Insurance Company Ltd, Oslo
*
Storebrand P.O. Box 1380 Vika, N-0114 Oslo 1, Norway.
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Abstract

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In the present paper we present two credibility regression models for the classification of passenger cars. As regressors we use technical variables like price, weight, etc. In both models we derive credibility estimators and find expressions for their estimation errors. Estimators for structure parameters are proposed. A numerical example based on real data is given. The second model is hierarchical with a level for make of car.

Type
Articles
Information
ASTIN Bulletin: The Journal of the IAA , Volume 17 , Issue 1 , April 1987 , pp. 41 - 70
Copyright
Copyright © International Actuarial Association 1987

Footnotes

1

Paper presented at the XIXth ASTIN Colloquium, Tel Aviv, 20–24 September 1986.

References

Bunke, H. and Gladitz, J. (1974) Empirical linear Bayes decision rules for a sequence of linear models with different regressor matrices. Mathematische Operationsforschung und Statistik 5, 234–244.CrossRefGoogle Scholar
Bühlmann, H. and Straub., E. (1970) Glaubwürdigkeit für Schadensätze. Mitteilungen der Vereinigung schweizerischer Versicherungs mathematiker 70, 111–133.Google Scholar
Campbell, M. (1986) An integrated system for estimating the risk premium of individual car models in motor insurance. ASTIN Bulletin 16, 165–183.CrossRefGoogle Scholar
DeGroot, M. H. (1970) Optimal Statistical Decisions. McGraw-Hill, New York.Google Scholar
De Vylder, F. (1976) Geometrical credibility. Scandinavian Actuarial Journal, 121–149.CrossRefGoogle Scholar
Hachemeister, C. A. (1975) Credibility for regression models with application to trend. In Credibility: Theory and Applications (ed. Kahn, P. M.), pp. 129–163. Academic Press, New York.Google Scholar
Norberg, R. (1982) On optimal parameter estimation in credibility. Insurance 1, 73–89.Google Scholar
Norberg, R. (1985) Hierarchical credibility: Analysis of a random effect linear model with nested classification. Statistical Research Report. Institute of Mathematics, University of Oslo.Google Scholar
Opplysningsrȧdet for Veitrafikken (1984) Bilpriser 1984 – Vȧr. Norsk Veiforening, Oslo.Google Scholar
Rao, C. R. (1965) Linear Statistical Inference and Its Applications. Wiley, New York.Google Scholar
Sundt, B. (1980) A multi-level hierarchical credibility regression model. Scandinavian Actuarial Journal, 25–32.CrossRefGoogle Scholar
Sundt, B. (1981) Recursive credibility estimation. Scandinavian Actuarial Journal, 3–21.CrossRefGoogle Scholar
Sundt, B. (1986) Credibility and old estimates. Storebrand-Norden Actuarial Research Report 2.Google Scholar