Shrinkage Estimation for the Shape Parameter of Weibull Distribution under Type Ⅱ Censoring

In this paper,We consider four shrinkage estimators of the Weibull Shape parameter underType Ⅱcensoring when the prior information of the shape parameters available, The optimalshrinkage cofficients of the above four shrinkage estimators are obtained with the minimax regretcriterion. The efficiency of the four shrinkage estimators of the Weibull shape parameters showsthat they are all better than their original ones in the sense of mean square error when there is theappropriate prior iuformation of the Weibull shape parameter. By comparing these four shrinkageestimators one another, we have recommended that the usual BLUE of the Weibull shape parametercan be replaced by shrinkage cstimator based on the approximate unbiased estimator.