A new flexible Weibull extension model: Different estimation methods and modeling an extreme value data
The word extreme events refer to unnatural or undesirable events. Due to the general destructive effects on society and scientific problems in various applied fields, the study of extreme events is an important subject for researchers. Many real-life phenomena exhibit clusters of extreme observation...
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| Published in | Heliyon Vol. 9; no. 11; p. e21704 |
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| Main Authors | , , , , , |
| Format | Journal Article |
| Language | English |
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Elsevier Ltd
01.11.2023
Elsevier |
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| Abstract | The word extreme events refer to unnatural or undesirable events. Due to the general destructive effects on society and scientific problems in various applied fields, the study of extreme events is an important subject for researchers. Many real-life phenomena exhibit clusters of extreme observations that cannot be adequately predicted and modeled by the traditional distributions. Therefore, we need new flexible probability distributions that are useful in modeling extreme-value data in various fields such as the financial sector, telecommunications, hydrology, engineering, and meteorology. In this piece of research work, a new flexible probability distribution is introduced, which is attained by joining together the flexible Weibull distribution with the weighted T-X strategy. The new model is named a new flexible Weibull extension distribution. The distributional properties of the new model are derived. Furthermore, some frequently implemented estimation approaches are considered to obtain the estimators of the new flexible Weibull extension model. Finally, we demonstrate the utility of the new flexible Weibull extension distribution by analyzing an extreme value data set. |
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| AbstractList | The word extreme events refer to unnatural or undesirable events. Due to the general destructive effects on society and scientific problems in various applied fields, the study of extreme events is an important subject for researchers. Many real-life phenomena exhibit clusters of extreme observations that cannot be adequately predicted and modeled by the traditional distributions. Therefore, we need new flexible probability distributions that are useful in modeling extreme-value data in various fields such as the financial sector, telecommunications, hydrology, engineering, and meteorology. In this piece of research work, a new flexible probability distribution is introduced, which is attained by joining together the flexible Weibull distribution with the weighted T-X strategy. The new model is named a new flexible Weibull extension distribution. The distributional properties of the new model are derived. Furthermore, some frequently implemented estimation approaches are considered to obtain the estimators of the new flexible Weibull extension model. Finally, we demonstrate the utility of the new flexible Weibull extension distribution by analyzing an extreme value data set. |
| ArticleNumber | e21704 |
| Author | Odhah, Omalsad Hamood El-Bagoury, Abd al-Aziz Hosni Khosa, Saima K. Alshanbari, Huda M. Al-Mofleh, Hazem Ahmad, Zubair |
| Author_xml | – sequence: 1 givenname: Huda M. surname: Alshanbari fullname: Alshanbari, Huda M. email: hmalshanbari@pnu.edu.sa organization: Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia – sequence: 2 givenname: Omalsad Hamood surname: Odhah fullname: Odhah, Omalsad Hamood email: ohodhah@pnu.edu.sa organization: Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia – sequence: 3 givenname: Hazem surname: Al-Mofleh fullname: Al-Mofleh, Hazem email: almof1hm@ttu.edu.jo, halmofleh@eureka.edu organization: Division of Science and Mathematics, Eureka College, Eureka, IL 61530, USA – sequence: 4 givenname: Zubair orcidid: 0000-0003-3782-4081 surname: Ahmad fullname: Ahmad, Zubair email: z.ferry21@gmail.com organization: Department of Statistics, Quaid-i-Azam University, Islamabad 44000, Pakistan – sequence: 5 givenname: Saima K. surname: Khosa fullname: Khosa, Saima K. email: skk807@mail.usask.ca organization: Department of Mathematics and Statistics, University of Saskatchewan, Saskatoon, SK, Canada – sequence: 6 givenname: Abd al-Aziz Hosni surname: El-Bagoury fullname: El-Bagoury, Abd al-Aziz Hosni email: azizhel2013@yahoo.com organization: Basic Sciences Department, Higher Institute of Engineering and Technology, EL-Mahala EL-Kobra, Egypt |
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| Cites_doi | 10.1016/j.advwatres.2023.104388 10.2991/jsta.d.200421.001 10.1111/j.2517-6161.1983.tb01268.x 10.3390/sym13030474 10.1080/01621459.1954.10501232 10.1371/journal.pone.0264229 10.1016/j.insmatheco.2017.10.007 10.3389/feart.2022.928348 10.1080/00949658808811068 10.1016/j.microrel.2022.114769 10.1007/s40300-013-0007-y 10.1007/s00180-012-0367-4 10.1017/asb.2015.15 10.3390/axioms11080386 10.3390/math10111792 10.1016/j.csda.2005.09.011 10.1134/S1995080222010218 10.1080/00401706.1959.10489870 10.3390/atmos12101336 10.1016/j.ress.2012.10.018 10.1016/j.ress.2019.106630 10.1111/j.2517-6161.1971.tb00884.x 10.1109/IRE-PGRQC.1958.5007164 10.1016/j.ress.2006.03.004 10.1016/j.cam.2017.12.001 |
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| Issue | 11 |
| Keywords | Extreme value theory Flexible Weibull extension distribution Flood data Estimation Distributional properties |
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Control doi: 10.1109/IRE-PGRQC.1958.5007164 contributor: fullname: Kao – volume: 92 start-page: 719 year: 2007 ident: 10.1016/j.heliyon.2023.e21704_br0130 article-title: A flexible Weibull extension publication-title: Reliab. Eng. Syst. Saf. doi: 10.1016/j.ress.2006.03.004 contributor: fullname: Bebbington – volume: 336 start-page: 439 year: 2018 ident: 10.1016/j.heliyon.2023.e21704_br0210 article-title: A new extension of Weibull distribution: properties and different methods of estimation publication-title: J. Comput. Appl. Math. doi: 10.1016/j.cam.2017.12.001 contributor: fullname: Nassar |
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| SubjectTerms | Distributional properties Estimation Extreme value theory Flexible Weibull extension distribution Flood data |
| Title | A new flexible Weibull extension model: Different estimation methods and modeling an extreme value data |
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