89 Estimation of One-Parameter Exponential Family under Weighted Square Loss Based on Progressively Type-II Censoring Available to Purchase

By using Bayes method, the Bayesian estimator of the parameter of one-parameter exponential family is given and the empirical Bayesian estimatior are also obtained under weighted square error loss function based on progressively Type-II censored sample. Finally, the admissibility and inadmissibility of estimatrors with linear form are also discussed. As a result, the empirical Bayes estimator and the maximum likelihood estimator are inadmissible.