RESULTS OF EXACT AND OF INEQUABLE--LINEAR CREDIBILITIES FOR A TYPE OF NON-LIFE INSURANCE CONTRACT

摘要

This is an original paper, which analyses some practical insurance problems of non-life insurance, with applications in the actuarial calculations that can be solved by means of credibility theory. All numerical results in this paper were obtained using the linear credibility premium and the exact credibility premium, i.e. the best risk premium-in the sense of weighted mean squared error and the best linear credibility estimator, which minifies the exponentially weighted squared error loss function. Examples of the credibility results for the linear premiums, as other applications for the exact credibility premium will be given and discussed. It will give more insight and understanding of the theoretical aspects and it will point out the way to the practical possibilities of the credibility models, and of the risk premiums.