Abstract:

Firstly, an explicit form of the minimum risk equivariant estimator of the scale parameter was obtained, and the admissibility of a class of estimators of the form ［cT_α+d］^-1was discussed. Then the estimation methods of the shape parameter were considered, further, the estimator of the scale parameter was proposed under entropy loss function based on progressive TypeⅡ censoring scheme when both the parameters were unknown.

Key words: entropy loss function, Weibull distribution, progressive TypeⅡ censoring, Bayes estimator, admissibility