A new trigonometric-oriented distributional method: Model, theory, and practical applications
In this study, a new family of distributions is proposed, which incorporates a trigonometric function and is termed the weighted tan-G family. In comparison to various alternative methods, a key advantage of the proposed approach is its lack of requirement for additional parameters. The research inc...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-05-01
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| Series: | Alexandria Engineering Journal |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016825001231 |
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| author | Omalsad Hamood Odhah Olayan Albalawi Huda M. Alshanbari |
| author_facet | Omalsad Hamood Odhah Olayan Albalawi Huda M. Alshanbari |
| author_sort | Omalsad Hamood Odhah |
| collection | DOAJ |
| description | In this study, a new family of distributions is proposed, which incorporates a trigonometric function and is termed the weighted tan-G family. In comparison to various alternative methods, a key advantage of the proposed approach is its lack of requirement for additional parameters. The research includes a thorough examination of numerous mathematical properties related to the weighted tan-G family. For demonstration purposes, a particular model from this family, called the weighted tan-Weibull distribution, is investigated. The Weibull model serves as the foundational framework for this specific variant. The maximum likelihood estimators for the parameters of the weighted tan-Weibull distribution are obtained. A concise simulation study is conducted to assess these estimators. Furthermore, two applications from distinct sectors are examined to illustrate the practicality of the weighted tan-Weibull distribution. The first application demonstrates the survival times of patients diagnosed with a certain medical condition, while the second application, sourced from the hydrological sector, represents the highest points of flood events. Utilizing various decision-making tools, the weighted tan-Weibull distribution exhibits enhanced performance, surpassing other established variants of the Weibull distribution. |
| format | Article |
| id | doaj-art-d57138293e92432eaae8c01393e8a9a3 |
| institution | Kabale University |
| issn | 1110-0168 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj-art-d57138293e92432eaae8c01393e8a9a32025-02-12T05:30:43ZengElsevierAlexandria Engineering Journal1110-01682025-05-01120112A new trigonometric-oriented distributional method: Model, theory, and practical applicationsOmalsad Hamood Odhah0Olayan Albalawi1Huda M. Alshanbari2Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaDepartment of Statistics, Faculty of Science, University of Tabuk, Tabuk, Saudi ArabiaDepartment of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia; Corresponding author.In this study, a new family of distributions is proposed, which incorporates a trigonometric function and is termed the weighted tan-G family. In comparison to various alternative methods, a key advantage of the proposed approach is its lack of requirement for additional parameters. The research includes a thorough examination of numerous mathematical properties related to the weighted tan-G family. For demonstration purposes, a particular model from this family, called the weighted tan-Weibull distribution, is investigated. The Weibull model serves as the foundational framework for this specific variant. The maximum likelihood estimators for the parameters of the weighted tan-Weibull distribution are obtained. A concise simulation study is conducted to assess these estimators. Furthermore, two applications from distinct sectors are examined to illustrate the practicality of the weighted tan-Weibull distribution. The first application demonstrates the survival times of patients diagnosed with a certain medical condition, while the second application, sourced from the hydrological sector, represents the highest points of flood events. Utilizing various decision-making tools, the weighted tan-Weibull distribution exhibits enhanced performance, surpassing other established variants of the Weibull distribution.http://www.sciencedirect.com/science/article/pii/S1110016825001231Weibull distributionTangent functionSimulationMedical dataHydrological dataModeling |
| spellingShingle | Omalsad Hamood Odhah Olayan Albalawi Huda M. Alshanbari A new trigonometric-oriented distributional method: Model, theory, and practical applications Alexandria Engineering Journal Weibull distribution Tangent function Simulation Medical data Hydrological data Modeling |
| title | A new trigonometric-oriented distributional method: Model, theory, and practical applications |
| title_full | A new trigonometric-oriented distributional method: Model, theory, and practical applications |
| title_fullStr | A new trigonometric-oriented distributional method: Model, theory, and practical applications |
| title_full_unstemmed | A new trigonometric-oriented distributional method: Model, theory, and practical applications |
| title_short | A new trigonometric-oriented distributional method: Model, theory, and practical applications |
| title_sort | new trigonometric oriented distributional method model theory and practical applications |
| topic | Weibull distribution Tangent function Simulation Medical data Hydrological data Modeling |
| url | http://www.sciencedirect.com/science/article/pii/S1110016825001231 |
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