Measuring sensitivity in a bonus-malus system

被引:21
作者
Gómez, E
Hernández, A
Pérez, JM
Vázquez-Polo, FJ
机构
[1] Univ Las Palmas GC, Dept Quantitat Methods, Las Palmas Gran Canaria 35017, Spain
[2] Univ Granada, Dept Appl Econ, Granada 18011, Spain
关键词
bonus-malus; Bayesian robustness; epsilon-contammation class;
D O I
10.1016/S0167-6687(02)00125-7
中图分类号
F [经济];
学科分类号
02 ;
摘要
In performing Bayesian analysis of a bonus-malus system (BMS) it is normal to choose a parametric structure, 70(.), in the insurer's portfolio. According to Bayesian sensitivity analysis the structure function can be modelled by specifying a class F of priors instead of a single prior. In this paper, we examine the ranges of the relativities, i.e. delta(pi) = E[lambdapi (lambda\data)/E[lambdapi(lambda)], pi is an element of Gamma. We illustrate our method with data from [Astin Bulletin 10 (3) (1979) 274]. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:105 / 113
页数:9
相关论文
共 17 条
[1]  
[Anonymous], ASTIN BULL
[2]  
BERGER J. O., 2013, Statistical Decision Theory and Bayesian Analysis, DOI [10.1007/978-1-4757-4286-2, DOI 10.1007/978-1-4757-4286-2]
[3]   ROBUST BAYESIAN-ANALYSIS UNDER GENERALIZED MOMENTS CONDITIONS [J].
BETRO, B ;
RUGGERI, F ;
MECZARSKI, M .
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1994, 41 (03) :257-266
[4]  
COENE G, 1996, ASTIN BULL, V26, P107
[5]  
CORLIER F, 1979, GENEVA PAP RISK INS, V12, P40
[6]   The Esscher premium principle in risk theory:: a Bayesian sensitivity study [J].
Gómez-Déniz, E ;
Hernández-Bastida, A ;
Vázquez-Polo, FJ .
INSURANCE MATHEMATICS & ECONOMICS, 1999, 25 (03) :387-395
[8]   ON THE ROBUSTNESS OF PREMIUM PRINCIPLES [J].
HEILMANN, WR ;
SCHROTER, K .
INSURANCE MATHEMATICS & ECONOMICS, 1987, 6 (02) :145-149
[10]  
Lemaire J., 1988, ASTIN BULL, V18, P99