Estimation of Stress-Strength Parameter for Rayleigh Distribution based on Progressive Type-II Censoring

Authors

M. H. Abu-Moussa, Department of Mathematics, Faculty of Science, Cairo University, Giza, EgyptFollow
A. M. Abd-Elfattah, Department of Mathematical Statistics, Institute of Statistical Studies-Research Cairo University, EgyptFollow
E. H. Hafez, Department of Mathematics, Faculty of Science Helwan University, Cairo, EgyptFollow

Abstract

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.

Recommended Citation

H. Abu-Moussa, M.; M. Abd-Elfattah, A.; and H. Hafez, E. (2021) "Estimation of Stress-Strength Parameter for Rayleigh Distribution based on Progressive Type-II Censoring," Information Sciences Letters: Vol. 10 : Iss. 1 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol10/iss1/12