Comparison of Some of Estimation methods of Stress-Strength Model: R = P(Y < X < Z)

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Sairan Hamza Raheem
Bayda Atiya Kalaf
Abbas Najim Salman


In this study, the stress-strength model R = P(Y < X < Z)  is discussed as an important parts of reliability system by assuming that the random variables follow Invers Rayleigh Distribution. Some traditional estimation methods are used    to estimate the parameters  namely; Maximum Likelihood, Moment method, and Uniformly Minimum Variance Unbiased estimator and Shrinkage estimator using three types of shrinkage weight factors. As well as, Monte Carlo simulation are used to compare the estimation methods based on mean squared error criteria.  


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Raheem SH, Kalaf BA, Salman AN. Comparison of Some of Estimation methods of Stress-Strength Model: R = P(Y < X < Z). Baghdad Sci.J [Internet]. 2021Jun.20 [cited 2021Jul.27];18(2(Suppl.):1103. Available from:


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