Fitting of Finite Mixture Distributions to Motor Insurance Claims | Science Publications

Journal of Mathematics and Statistics

Fitting of Finite Mixture Distributions to Motor Insurance Claims

P. Sattayatham and T. Talangtam

DOI : 10.3844/jmssp.2012.49.56

Journal of Mathematics and Statistics

Volume 8, Issue 1

Pages 49-56

Abstract

Problem statement: The modeling of claims is an important task of actuaries. Our problem is in modelling the actual motor insurance claim data set. In this study, we show that the actual motor insurance claim can be fitted by a finite mixture model. Approach: Firstly, we analyse the actual data set and then we choose the finite mixture Lognormal distributions as our model. The estimated parameters of the model are obtained from the EM algorithm. Then, we use the K-S and A-D test for showing how well the finite mixture Lognormal distributions fit the actual data set. We also mention the bootstrap technique in estimating the parameters. Results: From the tests, we found that the finite mixture lognormal distributions fit the actual data set with significant level 0.10. Conclusion: The finite mixture Lognormal distributions can be fitted to motor insurance claims and this fitting is better when the number of components (k) are increase.

Copyright

© 2012 P. Sattayatham and T. Talangtam. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.