Bühlmann's Credibility Model with Claims of Negative Binomial and 2-Poisson Distribution

One of the premium determination techniques is to use credibility theory. In this study, a model was derived with best accuracy approach in form Bühlmann’s premium. The claim data assumed have Negative Binomial and 2-Poisson distribution. Bühlmann's formula given explicitly for these two distributions. obtained also applied correct following From simulation results, it that values are very close value so both models can be high level because they factor value.