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Communications in Statistics - Theory and Methods Volume 40, 2011 - Issue 10
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Original Articles

The Credibility Estimator with General Dependence Structure Over Risks

Limin Wen Institute of Mathematics and Information Science, Jiangxi Normal University, Jiangxi, China; The Center of International Finance and Risk Management and Department of Statistics and Actuarial Science, East China Normal University, Shanghai, ChinaCorrespondence[email protected]
&
Xianyi Wu The Center of International Finance and Risk Management and Department of Statistics and Actuarial Science, East China Normal University, Shanghai, China
Pages 1893-1910 | Received 07 Sep 2009, Accepted 25 Jan 2010, Published online: 18 Mar 2011

References

  • Bühlmann , H. ( 1967 ). Experience rating and credibility. Astin Bull. 4:199-207 .
  • Bühlmann , H. , Gisler , A. ( 2005 ). A Course in Credibility Theory and its Applications . Berlin : Springer .
  • Bülmann , H. , Straub , E. ( 1970 ). Glaubwüdigkeit für Schadensäze . Bulletin of the Swiss Association of Actuaries 70 ( 1 ): 111 – 133 .
  • Dhaene , J. , Denuit , M. , Goovaerts , M. J. , Kaas , R. , Vyncke , D. ( 2002a ). The concept of comonotonicity in actuarial science and finance: theory . Insur. Math. Econ. 31 : 3 – 33 .
  • Dhaene , J. , Denuit , M. , Goovaerts , M. J. , Kaas , R. , Vyncke , D. ( 2002b ). The concept of comonotonicity in actuarial science and finance: applications . Insur. Math. Econ. 31 : 133 – 161 .
  • Dhaene , J. , Goovaerts , M. J. ( 1996 ). Dependency of risks and stop-loss order . Astin Bull. 26 : 201 – 212 .
  • Hachemeister , C. A. ( 1975 ). Credibility for regression models with application to trend. In: Credibility, Theory and Application. Proc. Berkeley Acturial Research Conference on Credibility. New York: Academic Press, pp. 129–163 .
  • Lu , T. , Zhang , Y. ( 2004 ). Generalized correlation order and stop-loss order . Insur. Math. Econ. 35 : 69 – 76 .
  • Mowbray , A. H. ( 1914 ). How extensive a payroll exposure is necessary to give a dependable pure premium . Proc. Cas. Actuar. Soc. 1 : 24 – 30 .
  • Müller , A. ( 1997 ). Stop-loss order for portfolios of dependent risks . Insur. Math. Econ. 21 : 219 – 223 .
  • Norberg , R. ( 2004 ). Credibility theory . In: Teugels , J. , Sundt , B. , eds. Encyclopedia of Actuarial Science . Chichester , UK : Wiley .
  • Rao , R. , Toutenburg , H. ( 1995 ). Linear Models . New York : Springer .
  • Schmidt , K. D. ( 1991 ). Convergence of Bayes and credibility premiums . Astin Bull. 20 ( 2 ): 167 – 172 .
  • Wang , S. S. ( 1998 ). Aggregation of Correlated Risk Portfolios . Proc. Cas. Actua. Soc. 85 : 848 – 939 .
  • Wen , L. , Wu , X. , Zhou , X. ( 2009 ). The credibility premiums for models with dependence induced by common effects . Insur. Math. Econ. 44 : 19 – 25 .
  • Wu , X. , Zhou , X. ( 2006 ). A new characterization of distortion premiums via countable additivity for comonotonic risks . Insur. Math. Econ. 38 : 324 – 334 .
  • Yeo , K. L. , Valdez , E. A. ( 2006 ). Claim dependence with common effects in credibility models . Insur. Math. Econ. 38 : 609 – 629 .

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