A novel two-parameter continuous model titled the entropy-transformed Weibull (ET-W) distribution has been developed via the entropy transformation. A new framework has been investigated and found to meet the criteria of the probability function. By significantly improving the functional shape and having the ability to model the most likely form of the hazard rate function, this novel modification has increased the adaptability of typical model. Some of its core characteristics, such as its statistical and computational features, are simply and clearly presented. To examine the ultimate performance of maximum likelihood estimators during the process of estimating model parameters, a comprehensive simulation analysis has been conducted. The effectiveness of the suggested distribution is illustrated through the modeling of real datasets.

Department of Basic Sciences College of Science and Theoretical Studies Saudi Electronic University Riyadh 11673 Kingdom of Saudi Arabia

Department of Mathematical Science Faculty of Applied Science Umm Al Qura University Mecca Saudi Arabia

Department of Mathematical Sciences UAE University P O Box 15551 Al Ain United Arab Emirates

Department of Statistics Quaid 1 Azam University 45320 Islamabad 44000 Pakistan

IT4Innovations VSB Technical University of Ostrava Ostrava 70800 Czech Republic

School of Mathematics and Statistics Nanjing University of Information Science and Technology Nanjing 210044 China

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