A Novel Lifetime Model With A Bathtub-Shaped Hazard Rate: Properties & Applications
A novel three-parameter lifetime model called the Marshall Olkin power Ailamujia (MOPA) distribution is developed. The statistical qualities and reliability characteristics of the proposed model are examined, including moment, generating function, incomplete moments, mean deviation, Bonferroni, and...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Tamkang University Press
2022-09-01
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| Series: | Journal of Applied Science and Engineering |
| Subjects: | |
| Online Access: | http://jase.tku.edu.tw/articles/jase-202303-26-3-0012 |
| _version_ | 1828113225566126080 |
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| author | Abdullah H. Al-nefaie Ibrahim E. Ragab |
| author_facet | Abdullah H. Al-nefaie Ibrahim E. Ragab |
| author_sort | Abdullah H. Al-nefaie |
| collection | DOAJ |
| description | A novel three-parameter lifetime model called the Marshall Olkin power Ailamujia (MOPA) distribution is
developed. The statistical qualities and reliability characteristics of the proposed model are examined, including moment, generating function, incomplete moments, mean deviation, Bonferroni, and Lorenz curves. The maximum likelihood technique has been used to investigate the estimate of underlying parameters. Finally, two real-world datasets are utilized to show the model’s applicability. |
| first_indexed | 2024-04-11T12:02:10Z |
| format | Article |
| id | doaj.art-c256341777544fb482739250b060b2bb |
| institution | Directory Open Access Journal |
| issn | 2708-9967 2708-9975 |
| language | English |
| last_indexed | 2024-04-11T12:02:10Z |
| publishDate | 2022-09-01 |
| publisher | Tamkang University Press |
| record_format | Article |
| series | Journal of Applied Science and Engineering |
| spelling | doaj.art-c256341777544fb482739250b060b2bb2022-12-22T04:24:49ZengTamkang University PressJournal of Applied Science and Engineering2708-99672708-99752022-09-0126341342110.6180/jase.202303_26(3).0012A Novel Lifetime Model With A Bathtub-Shaped Hazard Rate: Properties & ApplicationsAbdullah H. Al-nefaie0Ibrahim E. Ragab1Quantitative Methods Department, School of Business, King Faisal University, Al Ahsa, Saudi ArabiaHigher Institute of Computer, King Mariout, Alexandria 23713, EgyptA novel three-parameter lifetime model called the Marshall Olkin power Ailamujia (MOPA) distribution is developed. The statistical qualities and reliability characteristics of the proposed model are examined, including moment, generating function, incomplete moments, mean deviation, Bonferroni, and Lorenz curves. The maximum likelihood technique has been used to investigate the estimate of underlying parameters. Finally, two real-world datasets are utilized to show the model’s applicability.http://jase.tku.edu.tw/articles/jase-202303-26-3-0012marshall-olkin familypower ailamujiahazard rate functionmomentsresidual analysismaximum likelihood estimation |
| spellingShingle | Abdullah H. Al-nefaie Ibrahim E. Ragab A Novel Lifetime Model With A Bathtub-Shaped Hazard Rate: Properties & Applications Journal of Applied Science and Engineering marshall-olkin family power ailamujia hazard rate function moments residual analysis maximum likelihood estimation |
| title | A Novel Lifetime Model With A Bathtub-Shaped Hazard Rate: Properties & Applications |
| title_full | A Novel Lifetime Model With A Bathtub-Shaped Hazard Rate: Properties & Applications |
| title_fullStr | A Novel Lifetime Model With A Bathtub-Shaped Hazard Rate: Properties & Applications |
| title_full_unstemmed | A Novel Lifetime Model With A Bathtub-Shaped Hazard Rate: Properties & Applications |
| title_short | A Novel Lifetime Model With A Bathtub-Shaped Hazard Rate: Properties & Applications |
| title_sort | novel lifetime model with a bathtub shaped hazard rate properties applications |
| topic | marshall-olkin family power ailamujia hazard rate function moments residual analysis maximum likelihood estimation |
| url | http://jase.tku.edu.tw/articles/jase-202303-26-3-0012 |
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