The Extended Log-Logistic Distribution: Properties and Application | ||
| مجلة البØوث التجارية | ||
| Article 28, Volume 47, Issue 1, January 2025, Pages 101-119 PDF (668.73 K) | ||
| Document Type: تجاریة کل ما یتعلق بالعلوم التجاریة | ||
| DOI: 10.21608/zcom.2025.330437.1397 | ||
| Authors | ||
| hamada hassan mohamed hassan* 1; Ù…Øمد السيد ميعاد2; Ahmed Afify3 | ||
| 1أكاديمية الشروق | ||
| 2قسم الإØصاء والرياضة والتأمين،کلية التجارة ØŒ جامعة الزقازيق | ||
| 3قسم الإØصاءوالرياضة والتامين , كلية التجارة, جامعة بنها | ||
| Abstract | ||
| In this article, we study a new extension of the log-logistic model called the Kumaraswamy alpha-power log-logistic (KAPLL) distribution, an extension of the log-logistic model. It investigates some of their mathematical and statistical properties, including reliability properties (survival function, hazard rate function (HRF), moments, quantile functions (QF), and moment-generating functions), emphasizing their utility in modeling diverse aging and failure criteria. One key advantage of the KAPLL distribution lies in its capacity to represent its density as a blend of log-logistic densities, offering both symmetric and asymmetric shapes for greater modeling flexibility. The estimation of KAPLL parameters is achieved through maximum likelihood estimation (MLE), a widely used statistical method. The study presents comprehensive simulation results to assess the effectiveness of the proposed estimation technique. Furthermore, a practical application on real-world data is conducted to showcase the adaptability and versatility of the KAPLL distribution when compared with other extensions of the log-logistic model. | ||
| Keywords | ||
| Kumaraswamy; alpha-power; log-logistic | ||
|
Statistics Article View: 203 PDF Download: 142 |
||
