The Robustness for Premium Calculations Using Bayesian Approaches
The Robustness for Premium Calculations Using Bayesian Approaches
复制标题
使用贝叶斯方法进行溢价计算的稳健性
DOI:
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发表时间:
2015
期刊:
影响因子:
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通讯作者:
吴贤毅
中科院分区:
文献类型:
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作者:
吴贤毅
Three tightly related problems regarding the premium calculation principles are considered. Firstly,Bayesian premiums are defined by using of Bayesian approaches associated with loss principles. Then,two problems regarding the robustness of premium calculation principles are investigated. One is the robustness of nonBayesian premiums with respect to arbitrary contaminations. The other one is the robustness of Bayesian premiums with respect to the prior distributions by means of the e-contamination arguments. Finally,the reaction of a premium with respect to the contaminations and the range of premium using the Esscher principle when the contamination distribution varies in a distribution class are discussed.