Abstract
Most credibility formulas that have been developed till today refer to the net premium, and the problem of an adequate loading has not yet been solved satisfactorily. In the present paper an approach to premium calculation based on loss functions is introduced, and credibility formulas for the resulting premium principles (net premium principle, exponential principle, Esscher principle, e.g.) are derived. These formulas turn out to be Bayes rules in the sense of statistical decision theory. This gives rise to considering minimax rules as well.
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