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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.