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]. [cited 2021Jun.17];18(2(Suppl.):1103. Available from:


Rao S S. Reliability engineering. Pearson. 2015.

Birnbaum Z W. On a use of Mann-Whitney statistics. Proceeding Third Berkley Symposium on Mathematical Statistics and Probability. 1956;1: 13-17.

Kotz S, Lumelskii Y, Pensky M. The stress- strength model and its generalization: Theory and Application. World Scientific Publishing Co. New York. 2003.

Singh N. On the estimation of P(X1

Wang Z, Xiping W, Guangming P. Nonparametric statistical inference for P(X

Hassan A S, Elsharnoby E A, Shalaby R M. On the Estimation of (