Estimating System Reliability Using Neoteric and Median RSS Data for Generalized Exponential Distribution
In this work, we show how to estimate stress strength (SS) reliability when the stress (Y) and strength (X) distributions are generalized exponentials with a common scale parameter. The SS reliability estimator is considered in view of neoteric ranked set sampling (NRSS) and median ranked set sampli...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2022/2608656 |
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| author | Amal S. Hassan Rasha S. Elshaarawy Ronald Onyango Heba F. Nagy |
| author_facet | Amal S. Hassan Rasha S. Elshaarawy Ronald Onyango Heba F. Nagy |
| author_sort | Amal S. Hassan |
| collection | DOAJ |
| description | In this work, we show how to estimate stress strength (SS) reliability when the stress (Y) and strength (X) distributions are generalized exponentials with a common scale parameter. The SS reliability estimator is considered in view of neoteric ranked set sampling (NRSS) and median ranked set sampling (MRRS). We acquire an estimate of the reliability (R) when such samples of the stress and strength random variables are gathered using the same NRSS technique. Furthermore, the reliability estimator is derived when the stress distribution data are in the pattern of MRSS with just an odd/even set size and the strength distribution data are derived from NRSS and vice versa. The simulation results are used to evaluate and understand the adequacy of a variety of estimators for the suggested schemes. Based on our simulated results, we found that NRSS-based stress strength reliability estimates are more efficient than MRSS-based stress strength reliability estimates. The analysis of real-world data is used to implement the recommended estimators. |
| format | Article |
| id | doaj-art-29e6d9b4ebb0469fa54332071d14ec6e |
| institution | Kabale University |
| issn | 1687-0425 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-29e6d9b4ebb0469fa54332071d14ec6e2025-02-03T01:23:13ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252022-01-01202210.1155/2022/2608656Estimating System Reliability Using Neoteric and Median RSS Data for Generalized Exponential DistributionAmal S. Hassan0Rasha S. Elshaarawy1Ronald Onyango2Heba F. Nagy3Faculty of Graduate Studies for Statistical ResearchFaculty of Graduate Studies for Statistical ResearchDepartment of Applied StatisticsFaculty of Graduate Studies for Statistical ResearchIn this work, we show how to estimate stress strength (SS) reliability when the stress (Y) and strength (X) distributions are generalized exponentials with a common scale parameter. The SS reliability estimator is considered in view of neoteric ranked set sampling (NRSS) and median ranked set sampling (MRRS). We acquire an estimate of the reliability (R) when such samples of the stress and strength random variables are gathered using the same NRSS technique. Furthermore, the reliability estimator is derived when the stress distribution data are in the pattern of MRSS with just an odd/even set size and the strength distribution data are derived from NRSS and vice versa. The simulation results are used to evaluate and understand the adequacy of a variety of estimators for the suggested schemes. Based on our simulated results, we found that NRSS-based stress strength reliability estimates are more efficient than MRSS-based stress strength reliability estimates. The analysis of real-world data is used to implement the recommended estimators.http://dx.doi.org/10.1155/2022/2608656 |
| spellingShingle | Amal S. Hassan Rasha S. Elshaarawy Ronald Onyango Heba F. Nagy Estimating System Reliability Using Neoteric and Median RSS Data for Generalized Exponential Distribution International Journal of Mathematics and Mathematical Sciences |
| title | Estimating System Reliability Using Neoteric and Median RSS Data for Generalized Exponential Distribution |
| title_full | Estimating System Reliability Using Neoteric and Median RSS Data for Generalized Exponential Distribution |
| title_fullStr | Estimating System Reliability Using Neoteric and Median RSS Data for Generalized Exponential Distribution |
| title_full_unstemmed | Estimating System Reliability Using Neoteric and Median RSS Data for Generalized Exponential Distribution |
| title_short | Estimating System Reliability Using Neoteric and Median RSS Data for Generalized Exponential Distribution |
| title_sort | estimating system reliability using neoteric and median rss data for generalized exponential distribution |
| url | http://dx.doi.org/10.1155/2022/2608656 |
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