دورية أكاديمية
A new probabilistic model: Theory, simulation and applications to sports and failure times data
| العنوان: | A new probabilistic model: Theory, simulation and applications to sports and failure times data |
|---|---|
| المؤلفون: | Xiangming Tang, Jin-Taek Seong, Randa Alharbi, Aned Al Mutairi, Said G. Nasr |
| المصدر: | Heliyon, Vol 10, Iss 4, Pp e25651- (2024) |
| بيانات النشر: | Elsevier, 2024. |
| سنة النشر: | 2024 |
| المجموعة: | LCC:Science (General) LCC:Social sciences (General) |
| مصطلحات موضوعية: | Statistical methodology, Flexible Weibull distribution, Estimation, Monte Carlo simulation, Re-injury rate, Engineering data, Science (General), Q1-390, Social sciences (General), H1-99 |
| الوصف: | In applied sectors, data modeling/analysis is very important for decision-making and future predictions. Data analysis in applied sectors mainly relies on probability distributions. Data arising from numerous sectors such as engineering-related fields have complex structures. For such kinds of data having complex structures, the implementation of classical distributions is not a suitable choice. Therefore, researchers often need to look for more flexible models that might have the capability of capturing a high degree of kurtosis and increasing the fitting power of the classical models. Taking motivation from the above theory, to achieve these goals, we study a new probabilistic model, which we named a new beta power flexible Weibull (NBPF-Weibull) distribution. We derive some of the main distributional properties of the NBPF-Weibull model. The estimators for the parameters of the NBPF-Weibull distribution are derived. The performances of these estimators are judged by incorporating a simulation study for different selected values of the parameters. Three data sets are used to demonstrate the applicability of the NBPF-Weibull model. The first data set is observed from sports. It represents the re-injury rate of various football players. While the other two data sets are observed from the reliability zone. By adopting certain diagnostic criteria, it is proven that the NBPF-Weibull model repeatedly surpasses well-known classical and modified models. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 2405-8440 |
| Relation: | http://www.sciencedirect.com/science/article/pii/S2405844024016827; https://doaj.org/toc/2405-8440 |
| DOI: | 10.1016/j.heliyon.2024.e25651 |
| URL الوصول: | https://doaj.org/article/3c09aa20a42a463d8d744bee8512061a |
| رقم الأكسشن: | edsdoj.3c09aa20a42a463d8d744bee8512061a |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 24058440 |
|---|---|
| DOI: | 10.1016/j.heliyon.2024.e25651 |