Distributional properties of the entropy transformed Weibull distribution and applications to various scientific fields
Abstract A novel two-parameter continuous model titled the entropy-transformed Weibull (ET-W) distribution has been developed via the entropy transformation. A new framework has been investigated and found to meet the criteria of the probability function. By significantly improving the functional sh...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2024-12-01
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| Series: | Scientific Reports |
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| Online Access: | https://doi.org/10.1038/s41598-024-83132-w |
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| author | Tabassum Naz Sindhu Anum Shafiq Showkat Ahmad Lone Qasem M. Al-Mdallal Tahani A. Abushal |
| author_facet | Tabassum Naz Sindhu Anum Shafiq Showkat Ahmad Lone Qasem M. Al-Mdallal Tahani A. Abushal |
| author_sort | Tabassum Naz Sindhu |
| collection | DOAJ |
| description | Abstract A novel two-parameter continuous model titled the entropy-transformed Weibull (ET-W) distribution has been developed via the entropy transformation. A new framework has been investigated and found to meet the criteria of the probability function. By significantly improving the functional shape and having the ability to model the most likely form of the hazard rate function, this novel modification has increased the adaptability of typical model. Some of its core characteristics, such as its statistical and computational features, are simply and clearly presented. To examine the ultimate performance of maximum likelihood estimators during the process of estimating model parameters, a comprehensive simulation analysis has been conducted. The effectiveness of the suggested distribution is illustrated through the modeling of real datasets. |
| format | Article |
| id | doaj-art-69f82d46c5f34b90960f8f21a2c400f4 |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-69f82d46c5f34b90960f8f21a2c400f42025-01-05T12:25:18ZengNature PortfolioScientific Reports2045-23222024-12-0114112610.1038/s41598-024-83132-wDistributional properties of the entropy transformed Weibull distribution and applications to various scientific fieldsTabassum Naz Sindhu0Anum Shafiq1Showkat Ahmad Lone2Qasem M. Al-Mdallal3Tahani A. Abushal4Department of Statistics, Quaid-I-Azam University 45320School of Mathematics and Statistics, Nanjing University of Information Science and TechnologyDepartment of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic UniversityDepartment of Mathematical Sciences, UAE UniversityDepartment of Mathematical Science, Faculty of Applied Science, Umm Al-Qura UniversityAbstract A novel two-parameter continuous model titled the entropy-transformed Weibull (ET-W) distribution has been developed via the entropy transformation. A new framework has been investigated and found to meet the criteria of the probability function. By significantly improving the functional shape and having the ability to model the most likely form of the hazard rate function, this novel modification has increased the adaptability of typical model. Some of its core characteristics, such as its statistical and computational features, are simply and clearly presented. To examine the ultimate performance of maximum likelihood estimators during the process of estimating model parameters, a comprehensive simulation analysis has been conducted. The effectiveness of the suggested distribution is illustrated through the modeling of real datasets.https://doi.org/10.1038/s41598-024-83132-wEntropy transformationWeibull modelSurvival functionModelingSimulation |
| spellingShingle | Tabassum Naz Sindhu Anum Shafiq Showkat Ahmad Lone Qasem M. Al-Mdallal Tahani A. Abushal Distributional properties of the entropy transformed Weibull distribution and applications to various scientific fields Scientific Reports Entropy transformation Weibull model Survival function Modeling Simulation |
| title | Distributional properties of the entropy transformed Weibull distribution and applications to various scientific fields |
| title_full | Distributional properties of the entropy transformed Weibull distribution and applications to various scientific fields |
| title_fullStr | Distributional properties of the entropy transformed Weibull distribution and applications to various scientific fields |
| title_full_unstemmed | Distributional properties of the entropy transformed Weibull distribution and applications to various scientific fields |
| title_short | Distributional properties of the entropy transformed Weibull distribution and applications to various scientific fields |
| title_sort | distributional properties of the entropy transformed weibull distribution and applications to various scientific fields |
| topic | Entropy transformation Weibull model Survival function Modeling Simulation |
| url | https://doi.org/10.1038/s41598-024-83132-w |
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