A Bayesian shrinkage approach under symmetric and asymmetric loss functions for the Rayleigh distribution with the progressively type-II censoring schemes

The main goal of this paper is to achieve the Bayesian shrinkage estimators for the scale parameter of the Rayleigh distribution with progressively type-II censoring data‎. ‎The best linear estimators are also presented under the squared error and linear exponential loss functions‎. ‎Furthermore‎, ‎the relative efficiency of the proposed Bayesian shrinkage estimators is calculated for the best linear estimators‎. ‎Finally‎, ‎through a numerical analysis‎, ‎the relative efficiency of the Bayesian shrinkage estimators is compared with the best linear estimators.