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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...
Autores principales: | , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Elsevier
2023
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10665740/ https://www.ncbi.nlm.nih.gov/pubmed/38027837 http://dx.doi.org/10.1016/j.heliyon.2023.e21704 |
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author | Alshanbari, Huda M. Odhah, Omalsad Hamood Al-Mofleh, Hazem Ahmad, Zubair Khosa, Saima K. El-Bagoury, Abd al-Aziz Hosni |
author_facet | Alshanbari, Huda M. Odhah, Omalsad Hamood Al-Mofleh, Hazem Ahmad, Zubair Khosa, Saima K. El-Bagoury, Abd al-Aziz Hosni |
author_sort | Alshanbari, Huda M. |
collection | PubMed |
description | 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. |
format | Online Article Text |
id | pubmed-10665740 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | Elsevier |
record_format | MEDLINE/PubMed |
spelling | pubmed-106657402023-10-31 A new flexible Weibull extension model: Different estimation methods and modeling an extreme value data Alshanbari, Huda M. Odhah, Omalsad Hamood Al-Mofleh, Hazem Ahmad, Zubair Khosa, Saima K. El-Bagoury, Abd al-Aziz Hosni Heliyon Research Article 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. Elsevier 2023-10-31 /pmc/articles/PMC10665740/ /pubmed/38027837 http://dx.doi.org/10.1016/j.heliyon.2023.e21704 Text en © 2023 The Authors https://creativecommons.org/licenses/by/4.0/This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Research Article Alshanbari, Huda M. Odhah, Omalsad Hamood Al-Mofleh, Hazem Ahmad, Zubair Khosa, Saima K. El-Bagoury, Abd al-Aziz Hosni A new flexible Weibull extension model: Different estimation methods and modeling an extreme value data |
title | A new flexible Weibull extension model: Different estimation methods and modeling an extreme value data |
title_full | A new flexible Weibull extension model: Different estimation methods and modeling an extreme value data |
title_fullStr | A new flexible Weibull extension model: Different estimation methods and modeling an extreme value data |
title_full_unstemmed | A new flexible Weibull extension model: Different estimation methods and modeling an extreme value data |
title_short | A new flexible Weibull extension model: Different estimation methods and modeling an extreme value data |
title_sort | new flexible weibull extension model: different estimation methods and modeling an extreme value data |
topic | Research Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10665740/ https://www.ncbi.nlm.nih.gov/pubmed/38027837 http://dx.doi.org/10.1016/j.heliyon.2023.e21704 |
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