References
- Betrò , B. and Guglielmi , A. 2000 . “ Methods for global prior robustness under generalized moment conditions ” . In Robust Bayesian Analysis , Edited by: Rios , D. and Ruggeri , F. 273 – 293 . New York : Springer-Verlag .
- Betrò , B. , Ruggeri , F. and Məczarski , M. 1994 . Robust Bayesian analysis under generalized moments conditions . Journal of Statistical Planning and Inference , 41 : 257 – 266 .
- Cano , J. 1993 . Robustness of the posterior mean in normal hierarchical models . Communications in Statistics: Theory & Methods , 22 ( 7 ) : 1999 – 2014 .
- Eichenauer , J. , Lehn , J. and Rettig , S. 1988 . A gamma-minimax result in credibility theory . Insurance: Mathematics & Economics , 7 : 49 – 57 .
- Frangos , N. and Vrontos , S. 2001 . Design of optimal bonus–malus systems with a frequency and severity component on an individual basis in automobile insurance . ASTIN Bulletin , 31 ( 1 ) : 1 – 22 .
- Gómez , E. , Hernández , A. and Vázquez-Polo , F. 2000 . Robust Bayesian premium principles in Actuarial Science . Journal of the Royal Statistical Society, Series D , 49 ( 2 ) : 241 – 252 .
- Gómez , E. , Hernández , A. and Vázquez-Polo , F. 2002a . Bounds for ratios of posterior expectations: Applications in the collective risk model . Scandinavian Actuarial Journal , 1 : 37 – 44 .
- Gómez , E. , Pérez , J. , Hernández , A. and Vázquez‐Polo , F. 2002b . Measuring sensitivity in a bonus–malus system . Insurance: Mathematics & Economics , 31, 1 : 105 – 113 .
- Goovaerts , M. and Hoogstad , W. 1987 . Credibility theory . Surveys of Actuarial Studies , 4 : 19 – 52 .
- Goutis , C. 1994 . Ranges of posterior measures for some classes of priors with specified moments . International Statistical Review , 62 ( 2 ) : 245 – 256 .
- Heilmann , W. 1989 . Decision theoretic foundations of credibility theory . Insurance: Mathematics & Economics , 8 : 77 – 95 .
- Klugman , S. 1992 . Bayesian Statistics in Actuarial Science , Boston : Kluwer Academic .
- Lemaire , J. 1979 . How to define a bonus–malus system with an exponential utility function . ASTIN Bulletin , 10 ( 3 ) : 274 – 282 .
- Lemaire , J. 1995 . Bonus–Malus Systems in Automobile Insurance , London : Kluwer Academic .
- Makov , U. 1995 . Loss robustness via Fisher-weighted squared error loss function . Insurance: Mathematics & Economics , 16 : 1 – 6 .
- Miller , R. B. 1980 . “ Actuarial applications of Bayesian statistics ” . In Bayesian Analysis in Econometrics and Statistics , Edited by: Zellner , A. 197 – 212 . New York : North-Holland .
- Ríos-Insúa , D. and Ruggeri , F. 2000 . Robust Bayesian Statistics , New York : Springer-Verlag .
- Scollnik , D. An introduction to Markov Chain Monte Carlo methods and their actuarial applications, in: . Proceeding of the Casualty Actuarial Society . Vol. LXXXIII , pp. 114 – 165 .
- Scollnik , D. 2001 . Actuarial modeling with MCMC and BUGS . North American Actuarial Journal , 5 ( 2 ) : 96 – 124 .
- Sivaganesan , S. 1991 . Sensitivity of some posterior summaries when the prior is unimodal with specified quantiles . The Canadian Journal of Statistics , 19 ( 1 ) : 57 – 65 .
- Sivaganesan , S. 2000 . “ Global and local robustness approach: uses and limitations ” . In Robust Bayesian Statistics , New York : Springer-Verlag .
- Sivaganesan , S. and Berger , J. 1989 . Ranges of posterior measures for priors with unimodal contaminations . Annals of Statistics , 17 ( 2 ) : 868 – 889 .
- Tremblay , L. 1992 . Using the Poisson inverse Gaussian in Bonus–Malus systems . ASTIN Bulletin , 22 ( 1 ) : 97 – 106 .
- Winkler , G. 2000 . Moment sets of bell-shaped distributions: extreme points, extremal decomposition and Chebysheff inequalities . Mathematische Nachrichten , 215 : 161 – 184 .