On choice of statistics in credibility estimation

Bjørn Sundt · Scandinavian Actuarial Journal · 1979

The question on what statistics to base our credibility estimators, is discussed in a general model. We introduce concepts of sufficiency, completeness, θ-sufficiency, and θ-completeness that are useful in this connection, and use methods of Rao-Blackwell type. Some of the present results are closely related to results by Taylor (1977).

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