Abstract: The credibility estimator under the generalized weighted premium principle were discussed. The results were also extended to the versions of multitude contracts. By transforming the probability distribution, the inhomogeneous and homogeneous credibility estimators in the multitude models were derived, and some statistical properties of those estimators were discussed. Furthermore, the structure parameters in credibility factor were estimated by bootstrap techniques. Finally, the simulation study is presented and shows that the inhomogeneous estimator are good enough to use in practice.