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Estimation of Stress-Strength Parameter for Rayleigh Distribution based on Progressive Type-II Censoring |
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PP: 101-110 |
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doi:10.18576/isl/100112
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Author(s) |
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M. H. Abu-Moussa,
A. M. Abd-Elfattah,
E. H. Hafez,
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Abstract |
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| 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.
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