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平衡损失函数下的信度模型 被引量:18

The Credibility Model under Balance Loss Function
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摘要 保险公司对保费进行定价时,一般是有一个目标保费.本文结合信度定价原理,考虑保费的目标估计,得到平衡损失函数下的信度估计.并对其未知参数进行估计,得到相应的经验Bayes信度估计. When the insurance company determine the premium of corresponding risks, the target premium will be usually considered. In this article, we derived the credibility estimators under the balanced loss function by means of credibility theory. We also estimated the unknown parameters and got the empirical Bayes credibility estimators. Finally, we simulated the results under the normal case which showed the desired conclusions.
出处 《应用概率统计》 CSCD 北大核心 2009年第5期553-560,共8页 Chinese Journal of Applied Probability and Statistics
基金 国家自然科学基金(10671038) 华东师范大学优秀博士基金(2009028)资助
关键词 目标估计 信度原理 平衡损失函数 Target estimator, credibility theory, balanced loss function.
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参考文献7

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同被引文献80

  • 1张佳佳.相对损失函数下的倍度保费(英文)[J].应用概率统计,2007,23(2):157-164. 被引量:6
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  • 7Buhlmaan Hans, Gisler Alois. A course in credibilitytheroy and its applications [ M ]. Springer, Netherlands, 2005.
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  • 9Pan Maolin, Wang Rongming, Wu Xianyi. On the consis- tency of credibility premiums regarding Esscher principle [J]. Insurance:Mathematical and Economics,2008,42 (1): 119-126.
  • 10Centeno Lourdes. The Bohlmann-Stranb Model with the premium calculated according to the variance principle [J].lnsumnce:Mathematical and Economics,1989,8(1):3- 10.

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