Özet:

It is important for an insurance company to predict the future claims in order to evaluate premiums, to determine the reserve necessary to meet its obligation and probabilities of ruin, etc. as the claim data is highly positively skewed and has heavy tail, no standard parametric model seems to provide an acceptable fit to both small and large losses. Composite models that use one standard distribution up to a threshold and other standard distribution thereafter are developed and it is seen that these composite models provide better fit than the standard models when claim data involve small and high claims.   The aim of this study is to investigate the use of the composite models namely Exponential-Pareto, Weibull-Pareto and Lognormal-Pareto to model the Turkish Motor Insurance claim data. From the results obtained, it is concluded that the composite Weibull-Pareto model provides better fit to Turkish Motor Insurance claim data than the all other models considered.

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