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In this note, the practical use of priors for Bayes estimators, of the twoparameters of the Weibull reliability model, is discussed in a technologicalcontext. The meaning of the priors as expression of virtual data samples isanalyzed. The implications of physics of failures are also highlighted. Thewhole analysis shows a rational way to convert a really available technologicalknowledge into prior information, effectively and without a long elicitationprocess. A large Monte Carlo study, on both complete and censored samples ofsmall size, shows the good properties of some estimators, which can exploitsuch a new approach.

A note on using Bayes priors for Weibull distribution