Gull alpha power transformed log-logistic model with application

In this article, we introduce and study a new extension of the log logistic (LOL) model called Gull alpha power transformed log-logistic (GAPLOL) distribution. Some mathematical features as quantile function, median, moments, incomplete moments and order statistics of the GAPLOL model are computed. Maximum likelihood approach is used to estimate the model parameters. In the end, we demonstrate the adaptability of the GAPLOL distribution using two real-world datasets.