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This paper presents and analyses the estimators of the structural pa- rameters, in the Buhlmann-Straub model, involving complicated mathe- matical properties of conditional expectations and of conditional covari- ances. So to able to use the better linear credibility results obtained in this model, we will provide useful estimators for the structure parame- ters. From the practical point of view it is stated the attractive property of unbiasedness for these estimators.

The problem of determining estimators for different structural parameters in the case of credibility results for weighted contracts