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.
H. Abu-Moussa, M.; M. Abd-Elfattah, A.; and H. Hafez, E.
"Estimation of Stress-Strength Parameter for Rayleigh Distribution based on Progressive Type-II Censoring,"
Information Sciences Letters: Vol. 10
, Article 12.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol10/iss1/12