• The Korean Journal of Applied Statistics
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• v.24 no.2
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• pp.279-292
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• 2011

Credibility theory is one of the most important theories of actuarial science to calculate the proper insurance premium. In this paper, the rule of relative exposure volume, the square root rule, the B$\"{u}$hlmann credibility and B$\"{u}$hlmann-Straub credibility with the basic concept of credibility have been introduced, Also, we estimate new premiums based on these methods for real data. As a result, the rule of relative exposure volume provides the highest accuracy.

• The Korean Journal of Applied Statistics
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• v.26 no.2
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• pp.321-333
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• 2013

Credibility theory is one of important theories in actuarial science to produce proper insurance premium. In this paper, new partial credibilities are proposed and introduced with widely accepted credibility theories such as rule of relative exposure volume, square root rule, B$\ddot{u}$hlmann credibility and B$\ddot{u}$hlmann-Straub credibility. Also, with credibilities estimated by current and newly suggested, the performance of the accuracy for estimating the risk is compared through real data analysis and we show that the newly suggested methods are improving the performance by reducing the error.

• Communications for Statistical Applications and Methods
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• v.17 no.5
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• pp.713-724
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• 2010

Calculating or estimating the proper insurance premium is very important decision making process for both the policyholder and the insurance company. The credibility theory is one of the most important theories in actuarial science to get the proper premium. In this research, we introduce the rule of relative exposure volume, the square root rule and the B$\ddot{u}$hlmann credibility, and estimate the new premiums based on these methods. By real data analysis, the accuracy of these credibility methods are compared.