Reliability Analysis on the Rayleigh Distribution

Based on progressively type-Ⅱcensored samples,Bayesian estimators for reliability index and its admissibility of the Rayleigh distribution are discussed.The Bayesian estimation for distributed parameters,reliability function and hazard functions and the shortest confidence interval estimation of parameters are obtained considering different loss functions.It is also proved that the Bayesian estimations are admissible.At last,the result are compared through the MSE(mean square error)based on Monte Carlo method.