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In the classical credibility theory, the credibility premium is derived on the basis of pure premium. However, the insurance
practice demands that the premium must be charged under some adaptable premium principle and serves the purpose for insurance
business. In this paper, the balanced credibility models have been built under exponential principle, and the credibility
estimator of individual exponential premium is derived. This result is also extended to the versions of multitude contracts,
and the estimation of the structure parameters is investigated. Finally, the simulations have been introduced to show the
consistency of the credibility estimator and its differences from the classical one. 相似文献
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