G-Transmuted Pareto Distribution for Modeling Failure Time Data
Mohamed M.E. Abd El-Monsef *
Faculty of Science, Tanta University, Tanta, Egypt.
Mona A. Hassan
High Institute Engineering and Technology, Kafrelsheikh, Egypt.
Eman M. El-Ghamry
Faculty of Engineering, Tanta University, Tanta, Egypt.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we investigate flexible and skewed families of transmuted distributions derived by introducing one or more additional parameters to a baseline distribution. Specifically, we propose a novel three-parameter G-Transmuted Pareto distribution. A comprehensive analysis of its mathematical properties is provided, alongside an evaluation of its reliability characteristics. Using real-world data, we demonstrate the effectiveness of the proposed distribution in modeling and highlight its utility as a robust statistical tool for a real life practical application.
Keywords: Pareto distribution, G-Transmuted, hazard rate function, maximum likelihood, reliability analysis