Ahmed Z. Afify
Asst. Professor
A new flexible Weibull distribution for modeling real-life data: Improved estimators, properties, and applications.
AIMS Mathematics • 2025
Publication Information
Authors
Afify, A. Z., Alsultan, R., Alghamdi, A. S. and Mahran, H. A.
Keywords
Not Available
Journal
AIMS Mathematics
Publisher
Not Available
Volume
10
Issue
Not Available
Pages
5880-5927.
publication.type
International
Paper Link
Open Link
Supplementary Materials
Not Available
Abstract
In this paper, we proposed a novel and flexible lifetime model, the generalized Kavya-Manoharan Weibull distribution, which can be interpreted as a proportional reversed hazard model. The most remarkable feature of the proposed model is its ability to effectively capture a wide range of hazard rate patterns using only three parameters. These include decreasing, J-shaped, reverse J-shaped, and increasing patterns, as well as key nonmonotonic shapes such as the bathtub, modified bathtub, and upside-down bathtub shapes. Additionally, its density can exhibit right-skewness, left-skewness, symmetry, and reversed-J shapes. We explored several distributional properties of the proposed model and estimated its parameters using eight methods. The effectiveness of these estimators was validated through extensive simulation studies. Furthermore, we assessed the versatility of the proposed distribution using three real-world datasets, demonstrating its exceptional capacity to fit the data accurately. Our results indicated that the proposed distribution outperforms several existing generalizations of the Weibull distribution in terms of fit quality.
