Semiparametric credibility ratemaking using a piecewise linear prior

Insurance: Mathematics and Economics

Volumn 33, Issue 3, 2003, Pages 585-593

  Huang, Xiaowei ^a   Song, Lixin ^a   Liang, Yanchun ^a  

^a JILIN UNIVERSITY   (China)

Author keywords

Bayesian estimation; Credibility theory; Piecewise linear function

Indexed keywords

EID: 0345375516     PISSN: 01676687     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.insmatheco.2003.08.007     Document Type: Article

References (12)

1. Bühlmann H. Experience rating and credibility ASTIN Bulletin 4 1967 199-207
2. Bühlmann, H., 1970. Mathematical Models in Risk Theory. Springer, New York.
3. Dannenburg, D.R., Kaas, R., Goovaerts, M.J., 1996. Practical Actuarial Credibility Models. Institute of Actuarial Science and Econometrics, University of Amsterdam, Amsterdam, The Netherlands.
4. De Groot, M.H., 1970. Optimal Statistical Decisions. McGraw-Hill, New York.
5. Prakasa Rao, B.L.S., 1983. Nonparametric Functional Estimation. Academic Press, USA.
6. Rockfellar, R.T., 1970. Convex Analysis. Princeton University Press, Princeton, NJ.
7. Serfling, R.J., 1980. Approximation Theorems of Mathematical Statistics. Wiley, New York.
8. Walke A.M. On the asymptotic behaviour of posterior distributions Journal of the Royal Statistical Society, Series B 31 1969 80-88
9. Willmot, G.E., 1994. Introduction Credibility Theory Institute of Insurance and Person Research. University of Waterloo, Waterloo, Ont.
10. Young V.R. Credibility using semiparametrics models ASTIN Bulletin 27 1997 273-285
11. Young V.R. Credibility using semiparametric models and a loss function with a constancy penalty Insurance: Mathematics and Economics 26 2000 151-156
12. Young V.R. De Vylder FI.E. Credibility in favor of unlucky insureds North American Actuarial Journal 4 1 2000 107-113