The Extended Log-Logistic Distribution: Properties and Application | ||||
| مجلة البØوث التجارية | ||||
| Article 28, Volume 47, Issue 1, January 2025, Page 101-119 PDF (668.73 K) | ||||
| Document Type: تجاریة کل ما یتعلق بالعلوم التجاریة | ||||
| DOI: 10.21608/zcom.2025.330437.1397 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
hamada hassan mohamed hassan  1; Ù…Øمد السيد ميعاد2; Ahmed Afify3
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| 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 | ||||
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