Estimation of stress-strength parameter for rayleigh distribution based on progressive type-ii censoring

In this paper, the estimation of stress-strength parameter R = P(Y < X) is considered when X, Y the strength and stress respectively are two independent random variables of Rayleigh distribution. The samples taken for X and Y are progressively censoring of type II. Maximum likelihood estimator (MLE), uniformly minimum variance unbiased estimator (UMVUE)and Bayes estimator of R = P(Y < X) are obtained. The exact confidence interval of R based on MLE is obtained. The performance of the proposed estimators is compared using computer simulation.