A new updated version of the Weibull model with an application to re-injury rate data
Probability distributions play useful and meaningful roles in sports sciences and biomedical sectors. Probability distributions can be used to model and predict the chances of injuries and recovery time after the injuries. We propose and implement a new method to introduce new probability distributi...
| Main Authors: | , , , , , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-11-01
|
| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016823009031 |
| _version_ | 1797448748756893696 |
|---|---|
| author | Mustafa Kamal Husam Eldin Sadig Aned Al Mutairi Ibrahim Alkhairy Fatma Masoud A. Zaghdoun M. Yusuf Eslam Hussam Mostafa Abotaleb Manahil SidAhmed Mustafa Anas Faiz Alsaedy |
| author_facet | Mustafa Kamal Husam Eldin Sadig Aned Al Mutairi Ibrahim Alkhairy Fatma Masoud A. Zaghdoun M. Yusuf Eslam Hussam Mostafa Abotaleb Manahil SidAhmed Mustafa Anas Faiz Alsaedy |
| author_sort | Mustafa Kamal |
| collection | DOAJ |
| description | Probability distributions play useful and meaningful roles in sports sciences and biomedical sectors. Probability distributions can be used to model and predict the chances of injuries and recovery time after the injuries. We propose and implement a new method to introduce new probability distributions. The new method is named a new updated-V family, as it can be used to increase/update the flexibility of the modified and traditional probability models. Based on the new updated-V method, a new extension of the Weibull model, namely, a new updated Weibull model is proposed. Statistical properties of the new updated-Weibull model, such as (i) quantile function, (ii) heavy-tailed properties (iii) rth moment, (iv) probability weighted moments, and (i) moment generating functions are presented. For the new updated-V distributions, the estimators are derived. The assessment of the new updated-V distribution estimators is done via a simulation study. A practical application related to the re-injury rate data is considered for the establishment of the applicability of the new updated Weibull distribution. |
| first_indexed | 2024-03-09T14:15:58Z |
| format | Article |
| id | doaj.art-a906cb84ebab4fe286f3accd5d751bcf |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-03-09T14:15:58Z |
| publishDate | 2023-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-a906cb84ebab4fe286f3accd5d751bcf2023-11-29T04:23:51ZengElsevierAlexandria Engineering Journal1110-01682023-11-018392101A new updated version of the Weibull model with an application to re-injury rate dataMustafa Kamal0Husam Eldin Sadig1Aned Al Mutairi2Ibrahim Alkhairy3Fatma Masoud A. Zaghdoun4M. Yusuf5Eslam Hussam6Mostafa Abotaleb7Manahil SidAhmed Mustafa8Anas Faiz Alsaedy9Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, Dammam, 32256, Saudi ArabiaDepartment of Mathematics and Sciences, College of Arts and Applied Sciences, Dhofar University, Salalah, OmanDepartment of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaDepartment of Mathematics, Al-Qunfudah University College, Umm Al-Qura University, Mecca, Saudi ArabiaDepartment of Mathematics, Faculty of Education, University of Tripoli, Genzor, LibyaDepartment of Mathematics, Faculty of Science, Helwan University, Cairo, EgyptDepartment of Accounting, College of Business Administration in Hawtat Bani Tamim, Prince Sattam bin Abdulaziz University, Saudi Arabia; Corresponding author.Department of System Programming, South Ural State University, 454080, Chelyabinsk, RussiaDepartment of Statistics, Faculty of Science, University of Tabuk, Tabuk, Saudi ArabiaDepartment of Mathematics, College of Science and Arts at Khulis, University of Jeddah, Jeddah, Saudi ArabiaProbability distributions play useful and meaningful roles in sports sciences and biomedical sectors. Probability distributions can be used to model and predict the chances of injuries and recovery time after the injuries. We propose and implement a new method to introduce new probability distributions. The new method is named a new updated-V family, as it can be used to increase/update the flexibility of the modified and traditional probability models. Based on the new updated-V method, a new extension of the Weibull model, namely, a new updated Weibull model is proposed. Statistical properties of the new updated-Weibull model, such as (i) quantile function, (ii) heavy-tailed properties (iii) rth moment, (iv) probability weighted moments, and (i) moment generating functions are presented. For the new updated-V distributions, the estimators are derived. The assessment of the new updated-V distribution estimators is done via a simulation study. A practical application related to the re-injury rate data is considered for the establishment of the applicability of the new updated Weibull distribution.http://www.sciencedirect.com/science/article/pii/S1110016823009031Weibull distributionBiomedical scienceFootball injuriesMathematical propertiesStatistical modeling |
| spellingShingle | Mustafa Kamal Husam Eldin Sadig Aned Al Mutairi Ibrahim Alkhairy Fatma Masoud A. Zaghdoun M. Yusuf Eslam Hussam Mostafa Abotaleb Manahil SidAhmed Mustafa Anas Faiz Alsaedy A new updated version of the Weibull model with an application to re-injury rate data Alexandria Engineering Journal Weibull distribution Biomedical science Football injuries Mathematical properties Statistical modeling |
| title | A new updated version of the Weibull model with an application to re-injury rate data |
| title_full | A new updated version of the Weibull model with an application to re-injury rate data |
| title_fullStr | A new updated version of the Weibull model with an application to re-injury rate data |
| title_full_unstemmed | A new updated version of the Weibull model with an application to re-injury rate data |
| title_short | A new updated version of the Weibull model with an application to re-injury rate data |
| title_sort | new updated version of the weibull model with an application to re injury rate data |
| topic | Weibull distribution Biomedical science Football injuries Mathematical properties Statistical modeling |
| url | http://www.sciencedirect.com/science/article/pii/S1110016823009031 |
| work_keys_str_mv | AT mustafakamal anewupdatedversionoftheweibullmodelwithanapplicationtoreinjuryratedata AT husameldinsadig anewupdatedversionoftheweibullmodelwithanapplicationtoreinjuryratedata AT anedalmutairi anewupdatedversionoftheweibullmodelwithanapplicationtoreinjuryratedata AT ibrahimalkhairy anewupdatedversionoftheweibullmodelwithanapplicationtoreinjuryratedata AT fatmamasoudazaghdoun anewupdatedversionoftheweibullmodelwithanapplicationtoreinjuryratedata AT myusuf anewupdatedversionoftheweibullmodelwithanapplicationtoreinjuryratedata AT eslamhussam anewupdatedversionoftheweibullmodelwithanapplicationtoreinjuryratedata AT mostafaabotaleb anewupdatedversionoftheweibullmodelwithanapplicationtoreinjuryratedata AT manahilsidahmedmustafa anewupdatedversionoftheweibullmodelwithanapplicationtoreinjuryratedata AT anasfaizalsaedy anewupdatedversionoftheweibullmodelwithanapplicationtoreinjuryratedata AT mustafakamal newupdatedversionoftheweibullmodelwithanapplicationtoreinjuryratedata AT husameldinsadig newupdatedversionoftheweibullmodelwithanapplicationtoreinjuryratedata AT anedalmutairi newupdatedversionoftheweibullmodelwithanapplicationtoreinjuryratedata AT ibrahimalkhairy newupdatedversionoftheweibullmodelwithanapplicationtoreinjuryratedata AT fatmamasoudazaghdoun newupdatedversionoftheweibullmodelwithanapplicationtoreinjuryratedata AT myusuf newupdatedversionoftheweibullmodelwithanapplicationtoreinjuryratedata AT eslamhussam newupdatedversionoftheweibullmodelwithanapplicationtoreinjuryratedata AT mostafaabotaleb newupdatedversionoftheweibullmodelwithanapplicationtoreinjuryratedata AT manahilsidahmedmustafa newupdatedversionoftheweibullmodelwithanapplicationtoreinjuryratedata AT anasfaizalsaedy newupdatedversionoftheweibullmodelwithanapplicationtoreinjuryratedata |