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Information Sciences Letters

Information Sciences Letters

Abstract

In this paper, the estimation of stress-strength parameter 𝑅 = 𝑃(π‘Œ < 𝑋) is considered when 𝑋, π‘Œ 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(π‘Œ < 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.

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