Study Of The Motor Insurance Actuarial Model And The No Claim Discount System

The motor insurance is one of the important lines in the modern insurancebusiness. While, the research of the NCD(No Claim Discount)is the leadingsubjects of this field. The study of this aspect mainly include: one is the premiumrating of motor insurance, the other is the adjustment premium system of motorinsurance.In the process of the premium rating, the research of the actuarial modelwhich is to fit from the group up is very important. Therefore, in this article,we first discussed the compound negative binomial, it able to simultaneously fitthe claim size and the claim number. At the same time, we studied the sum of themutually independent compound negative binomial and the sum of the mutuallyindependent compound negative binomial with discount factor and the sum of themaximal compound negative binomial;Next, for the claim data to be better fitted, this article has establishedthe superposition distributed model about the weighted average of the discreterandom and has discussed the estimation method of the parameters of thesuperposition distribution;Once more, we in detail elaborated the NCD which based on the claim numberand the NCD which based on the claim size and the claim number. Besides, weestablished an applied NCD model which also based on the claim size and the claimnumber;At last, we introduced the rewards and punishment coefficient of automobiletravel region into the applied NCD model, availably consummated the present NCD.