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Credibility premium for rate-making systems
Authors:Amir T Payandeh Najafabadi  Fatemeh Atatalab  Maryam Omidi Najafabadi
Institution:1. Mathematical Sciences Department, Shahid Beheshti University, Tehran, Iran;2. ECO College of Insurance, Allameh Tabatabái University, Tehran, Iran;3. Department of Agricultural Extension and Education, Science and Research Branch, Islamic Azad University, Tehran, Iran
Abstract:Credibility formula has been developed in many fields of actuarial sciences. Based upon Payandeh (2010 Payandeh, A.T. (2010). A new approach to the credibility formula. Insur.: Math. Econ. 46(2):334338.Crossref], Web of Science ®] Google Scholar]), this article extends concept of credibility formula to relatively premium of a given rate-making system. More precisely, it calculates Payandeh’s (2010 Payandeh, A.T. (2010). A new approach to the credibility formula. Insur.: Math. Econ. 46(2):334338.Crossref], Web of Science ®] Google Scholar]) credibility factor for zero-inflated Poisson gamma distributions with respect to several loss functions. A comparison study has been given.
Keywords:Bayes estimator  Linear credibility formula  Loss functions  Rate-making system  
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