Applications to Bio-Medical data and statistical inference for a Kavya-Manoharan log-logistic model
Abdullah H. Al-Nefaie
Abstract
The log-logistic (LoL) distribution was studied by different authors, but in this article the Kavya-Manoharan log-logistic (KMLoL) distribution is proposed as a new extension of the LoL distribution. Furthermore, the new suggested distribution has two parameters, but it is a very flexible model, as evidenced by the application results. Some statistical features of the KMLoL distribution are derived. The parameters are estimated utilizing three techniques. A simulation study is carried out to evaluate the performance of three different estimation approaches. One real-world data set is utilized to highlight the importance and applicability of the proposed suggested model. The new suggested model compared to well-known distributions which have two, three and four parameters, also it outperform them all of these models.