دورية أكاديمية
The development of an extended Weibull model with applications to medicine, industry and actuarial sciences
العنوان: | The development of an extended Weibull model with applications to medicine, industry and actuarial sciences |
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المؤلفون: | Muhammad Imran, Najwan Alsadat, M. H. Tahir, Farrukh Jamal, Mohammed Elgarhy, Hijaz Ahmad, Arne Johannssen |
المصدر: | Scientific Reports, Vol 14, Iss 1, Pp 1-24 (2024) |
بيانات النشر: | Nature Portfolio, 2024. |
سنة النشر: | 2024 |
المجموعة: | LCC:Medicine LCC:Science |
مصطلحات موضوعية: | COVID-19, Cancer, Complementary Bell-G family, Group acceptance sampling plan, Quality control, Risk measures, Medicine, Science |
الوصف: | Abstract This paper delves into the theoretical and practical exploration of the complementary Bell Weibull (CBellW) model, which serves as an analogous counterpart to the complementary Poisson Weibull model. The study encompasses a comprehensive examination of various statistical properties of the CBellW model. Real data applications are carried out in three different fields, namely the medical, industrial and actuarial fields, to show the practical versatility of the CBellW model. For the medical data segment, the study utilizes four data sets, including information on daily confirmed COVID-19 cases and cancer data. Additionally, a Group Acceptance Sampling Plan (GASP) is designed by using the median as quality parameter. Furthermore, some actuarial risk measures for the CBellW model are obtained along with a numerical illustration of the Value at Risk and the Expected Shortfall. The research is substantiated by a comprehensive numerical analysis, model comparisons, and graphical illustrations that complement the theoretical foundation. |
نوع الوثيقة: | article |
وصف الملف: | electronic resource |
اللغة: | English |
تدمد: | 2045-2322 |
Relation: | https://doaj.org/toc/2045-2322 |
DOI: | 10.1038/s41598-024-61308-8 |
URL الوصول: | https://doaj.org/article/a20fb7087c404514a6cc3fd95254e951 |
رقم الأكسشن: | edsdoj.20fb7087c404514a6cc3fd95254e951 |
قاعدة البيانات: | Directory of Open Access Journals |
تدمد: | 20452322 |
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DOI: | 10.1038/s41598-024-61308-8 |