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Esscher保费原理下信度估计的比较 被引量:8

Comparisons among credibility estimators under Esscher premium principle
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摘要 在Esscher保费原理下建立了信度模型,得到在Esscher保费原理下,风险保费的Bayes保费、Bayes估计、信度保费与信度估计.比较了这几个估计的异同,并证明了这些估计的相合性.最后,用模拟方法验证了相应的结论. This paper built the credibility model under Esscher premium principle,and derived the Bayes premium,Bayes estimator,credibility premium and credibility estimator of individual premium under Esscher premium principle correspondingly.In addition,the differences and connections among those estimators were compared,and the consistency were proved.Finally,the results were shown by simulations.
出处 《华东师范大学学报(自然科学版)》 CAS CSCD 北大核心 2010年第3期126-133,共8页 Journal of East China Normal University(Natural Science)
基金 华东师范大学优秀博士基金项目(2009028)
关键词 信度模型 Esscher保费原理 估计 相合性 credibility model Esscher premium principle estimator consistency
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参考文献8

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同被引文献31

  • 1施久玉.一类聚合风险模型[J].运筹与管理,2004,13(6):53-60. 被引量:6
  • 2胡经生,王荣,丁成.VaR方法及其拓展模型在投资组合风险管理中的应用研究[J].数量经济技术经济研究,2005,22(5):141-150. 被引量:34
  • 3Buhlmaan Hans, Gisler Alois. A course in credibilitytheroy and its applications [ M ]. Springer, Netherlands, 2005.
  • 4Hans U Gerber, Ann Arbor.Credibility for Esscher pre- mium[J].Mitleilungen der VSVM,1980,80(3):307-312.
  • 5Pan 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.
  • 6Centeno Lourdes. The Bohlmann-Stranb Model with the premium calculated according to the variance principle [J].lnsumnce:Mathematical and Economics,1989,8(1):3- 10.
  • 7Kamps Udo.On a class of premium principles including the Esscher principle[J]. Scandinavian Actuarial Journal, 1998(1):71-85.
  • 8Furmana Edward, Zitikisb Ricardas. Weighted premium calculation principles [J ]. Insurance: Mathematics and Economics,2008,42 (1):850-854.
  • 9Gomez Deniz Emilio.A generalization of the credibility theory obtained by using the weighted balanced loss function[J]. Mathematics and Economics,2008,42 (2): 850-854.
  • 10杨涛.广义加权Esscher损失函数下的信度保费[D].乌鲁木齐:新疆大学,2010.

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