On Shrinkage Estimation for R(s, k) in Case of Exponentiated Pareto Distribution
This paper concerns with deriving and estimating the reliability of the multicomponent system in stress-strength model R(s,k), when the stress and strength are identical independent distribution (iid), follows two parameters Exponentiated Pareto Distribution(EPD) with the unknown shape and known...
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| Format: | Article |
| Language: | English |
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University of Baghdad
2019-01-01
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| Series: | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| Subjects: | |
| Online Access: | https://jih.uobaghdad.edu.iq/index.php/j/article/view/1825 |
| _version_ | 1811308081263411200 |
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| author | Eman Ahmed Abdulateef Abbas Najim Salman |
| author_facet | Eman Ahmed Abdulateef Abbas Najim Salman |
| author_sort | Eman Ahmed Abdulateef |
| collection | DOAJ |
| description |
This paper concerns with deriving and estimating the reliability of the multicomponent system in stress-strength model R(s,k), when the stress and strength are identical independent distribution (iid), follows two parameters Exponentiated Pareto Distribution(EPD) with the unknown shape and known scale parameters. Shrinkage estimation method including Maximum likelihood estimator (MLE), has been considered. Comparisons among the proposed estimators were made depending on simulation based on mean squared error (MSE) criteria.
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| first_indexed | 2024-04-13T09:15:43Z |
| format | Article |
| id | doaj.art-a32cd55c6d464972b039c3407e3c1fdd |
| institution | Directory Open Access Journal |
| issn | 1609-4042 2521-3407 |
| language | English |
| last_indexed | 2024-04-13T09:15:43Z |
| publishDate | 2019-01-01 |
| publisher | University of Baghdad |
| record_format | Article |
| series | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| spelling | doaj.art-a32cd55c6d464972b039c3407e3c1fdd2022-12-22T02:52:44ZengUniversity of BaghdadIbn Al-Haitham Journal for Pure and Applied Sciences1609-40422521-34072019-01-0132110.30526/32.1.1825On Shrinkage Estimation for R(s, k) in Case of Exponentiated Pareto DistributionEman Ahmed Abdulateef0Abbas Najim SalmanBaghdad University, College of Education for Pure Sciences (Ibn Al – Haitham) This paper concerns with deriving and estimating the reliability of the multicomponent system in stress-strength model R(s,k), when the stress and strength are identical independent distribution (iid), follows two parameters Exponentiated Pareto Distribution(EPD) with the unknown shape and known scale parameters. Shrinkage estimation method including Maximum likelihood estimator (MLE), has been considered. Comparisons among the proposed estimators were made depending on simulation based on mean squared error (MSE) criteria. https://jih.uobaghdad.edu.iq/index.php/j/article/view/1825: Exponentiated Pareto Distribution (EPD), Reliability of multi-component Stress – Strength models R(s,k), Maximum likelihood estimator (MLE), , Shrinkage estimator and mean squared error (MSE). |
| spellingShingle | Eman Ahmed Abdulateef Abbas Najim Salman On Shrinkage Estimation for R(s, k) in Case of Exponentiated Pareto Distribution Ibn Al-Haitham Journal for Pure and Applied Sciences : Exponentiated Pareto Distribution (EPD), Reliability of multi-component Stress – Strength models R(s,k), Maximum likelihood estimator (MLE), , Shrinkage estimator and mean squared error (MSE). |
| title | On Shrinkage Estimation for R(s, k) in Case of Exponentiated Pareto Distribution |
| title_full | On Shrinkage Estimation for R(s, k) in Case of Exponentiated Pareto Distribution |
| title_fullStr | On Shrinkage Estimation for R(s, k) in Case of Exponentiated Pareto Distribution |
| title_full_unstemmed | On Shrinkage Estimation for R(s, k) in Case of Exponentiated Pareto Distribution |
| title_short | On Shrinkage Estimation for R(s, k) in Case of Exponentiated Pareto Distribution |
| title_sort | on shrinkage estimation for r s k in case of exponentiated pareto distribution |
| topic | : Exponentiated Pareto Distribution (EPD), Reliability of multi-component Stress – Strength models R(s,k), Maximum likelihood estimator (MLE), , Shrinkage estimator and mean squared error (MSE). |
| url | https://jih.uobaghdad.edu.iq/index.php/j/article/view/1825 |
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