distribution, and updates using Bayes's formula --- is often viewed as the gold-standard, while Buhlmann's credibility estimator … lead to inaccurate inference and prediction. The credibility estimator, on the other hand, is not sensitive at all to model …. Furthermore, we argue that this Gibbs perspective provides a new characterization of Buhlmann's credibility estimator …

functions can be embedded within Bühlmann's and Straub's credibility model. The optimal projection theorem is applied for … credibility estimation and more insight into the derivation of the credibility distribution estimators is also provided. In … addition, distribution credibility estimators are established and numerical illustrations are presented herein. Two examples of …