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

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Published: Jun 20, 2021
DOI: https://doi.org/10.21123/bsj.2021.18.2(Suppl.).1103
Keywords:
Stress-Strength Model, Inverse Rayleigh Distribution, Least Square Estimator, Maximum Likelihood Method Estimator, Moment method, Uniformly Minimum Variance Unbiased Method, Shrinkage Methods.

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Sairan Hamza Raheem
IT Department, College of Computing and Information Technology, University of Garmian.
Bayda Atiya Kalaf
Mathematics Department, College of Education (Ibn Al – Haitham), University of Baghdad, Baghdad, Iraq.
Abbas Najim Salman
Mathematics Department, College of Education (Ibn Al – Haitham), University of Baghdad, Baghdad, Iraq.

Abstract

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.  

Received  18/2/2020

Accepted  3/11/2020

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1.
Comparison of Some of Estimation methods of Stress-Strength Model: R = P(Y < X < Z). Baghdad Sci.J [Internet]. 2021 Jun. 20 [cited 2025 Jan. 24];18(2(Suppl.):1103. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4857
Issue
Vol. 18 No. 2(Suppl.) (2021): Supplement Issue 2
Section
article
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This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

1.
Comparison of Some of Estimation methods of Stress-Strength Model: R = P(Y < X < Z). Baghdad Sci.J [Internet]. 2021 Jun. 20 [cited 2025 Jan. 24];18(2(Suppl.):1103. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4857
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