Comparison of Some of Estimation methods of Stress-Strength Model: R = P(Y < X < Z)
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,...
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| Format: | Article |
| Language: | English |
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University of Baghdad, College of Science for Women
2021-06-01
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| Series: | مجلة بغداد للعلوم |
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| Online Access: | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4857 |
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| author | Sairan Hamza Raheem Bayda Atiya Kalaf Abbas Najim Salman |
| author_facet | Sairan Hamza Raheem Bayda Atiya Kalaf Abbas Najim Salman |
| author_sort | Sairan Hamza Raheem |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-94b92c633a2f4945ae481cb3f43aae54 |
| institution | Kabale University |
| issn | 2078-8665 2411-7986 |
| language | English |
| publishDate | 2021-06-01 |
| publisher | University of Baghdad, College of Science for Women |
| record_format | Article |
| series | مجلة بغداد للعلوم |
| spelling | doaj-art-94b92c633a2f4945ae481cb3f43aae542025-08-20T03:34:52ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862021-06-01182(Suppl.)10.21123/bsj.2021.18.2(Suppl.).1103Comparison of Some of Estimation methods of Stress-Strength Model: R = P(Y < X < Z)Sairan Hamza Raheem0Bayda Atiya Kalaf 1Abbas Najim Salman2IT Department, College of Computing and Information Technology, University of Garmian.Mathematics Department, College of Education (Ibn Al – Haitham), University of Baghdad, Baghdad, Iraq.Mathematics Department, College of Education (Ibn Al – Haitham), University of Baghdad, Baghdad, Iraq.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.https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4857Stress-Strength Model, Inverse Rayleigh Distribution, Least Square Estimator, Maximum Likelihood Method Estimator, Moment method, Uniformly Minimum Variance Unbiased Method, Shrinkage Methods. |
| spellingShingle | Sairan Hamza Raheem Bayda Atiya Kalaf Abbas Najim Salman Comparison of Some of Estimation methods of Stress-Strength Model: R = P(Y < X < Z) مجلة بغداد للعلوم Stress-Strength Model, Inverse Rayleigh Distribution, Least Square Estimator, Maximum Likelihood Method Estimator, Moment method, Uniformly Minimum Variance Unbiased Method, Shrinkage Methods. |
| title | Comparison of Some of Estimation methods of Stress-Strength Model: R = P(Y < X < Z) |
| title_full | Comparison of Some of Estimation methods of Stress-Strength Model: R = P(Y < X < Z) |
| title_fullStr | Comparison of Some of Estimation methods of Stress-Strength Model: R = P(Y < X < Z) |
| title_full_unstemmed | Comparison of Some of Estimation methods of Stress-Strength Model: R = P(Y < X < Z) |
| title_short | Comparison of Some of Estimation methods of Stress-Strength Model: R = P(Y < X < Z) |
| title_sort | comparison of some of estimation methods of stress strength model r p y x z |
| topic | Stress-Strength Model, Inverse Rayleigh Distribution, Least Square Estimator, Maximum Likelihood Method Estimator, Moment method, Uniformly Minimum Variance Unbiased Method, Shrinkage Methods. |
| url | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4857 |
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