Loss data structures in non-life insurance
businesses are increasingly complex, and the tendency of correlation and
heterogeneity is gradually presented. Hierarchical model can breakthrough limitation
that the traditional rate determination method only analyzes the loss data of
the same insurance policy; meanwhile, the accuracy of complex structure data prediction is improved. This
paper, using a hierarchical generalized linear model, studies the non-life rate determination of
multi-year loss data and takes auto insurance data for empirical analysis. The
research results show that GLMM’s fitting degree is greatly improved compared
with GLM, considering the random effects. It can more effectively reflect
different risk individual differences and also reveal the heterogeneity and
correlation of risk individual loss during multiple insurance periods.
References
[1]
Duan, B.G. and Zhang, L.Z. (2013) The Research Evaluation of Layered Model in Non-Life Insurance Actuarial Science Application. Statistical Research, 30, 98-105.
[2]
Górecki, J., Hofert, M. and Holeňa, M. (2016) An Approach to Structure Determination and Estimation of Hierarchical Archimedean Copulas and Its Application to Bayesian Classification. Journal of Intelligent Information Systems, 46, 21-59.
https://doi.org/10.1007/s10844-014-0350-3
[3]
Wang, J. (2015) Discussion on the Teaching Reform of “Non-Life Insurance Actuarial Science” Based on “Big Project View”—Take Jishou University for Example. The Weekly.
[4]
Sun, W.W. and Zhang, L.Z. (2016) The Calculation Example Analysis Based on HLM2 and Its Thinking in Chinese Non-Life Insurance Actuarial Calculation. Statistics and Decision, No. 22, 4-8.
[5]
Sun, W.W., Zhang, L.Z. and Hu, X. (2017) The Studies on the Actuarial Model of Non-Life Insurance Rate Based on the Generalized Linear Model. The Statistics and Information Forum, 32, 48-54.
[6]
Zheng, X.L. and Meng, S.W. (2016) A Bayesian Hierarchical Model with Spatial Effect and Its Application in Prediction of Claim Frequency. Mathematics in Practice & Theory.
[7]
Duan, B.G. (2014) The Application of Bayesian Nonlinear Hierarchical Model in the Assessment of Multiple Claims Reserve. Quantitative and Technical Economics, No. 3, 148-160.
[8]
Meng, S.W. and Qiu, Z.Z. (2016) Hybrid Effect Model and Its Application in Non-Life Insurance Rate Determination. Mathematical Statistics and Management, 35, 154-161.
[9]
Jiang, W. Xia, X.L. and Wu, H. (2015) Application Comparison of Distribution Fitting Model in the Actuarial Calculation of Social Health Insurance. Public Health and Preventive Medicine, 26, 34-38.
[10]
Li, H. and Duan, P.J. (2016) The Promotion of the Relationship between the Instantaneous Compensation of Death and the Present Value Model of Death Insurance Actuarial Calculation Based on the Age of the Score Age. Journal of Jiamusi University, 34, 144-146.