Benha University

Ahmed Z. Afify

Asst. Professor

Faculty of Commerce Statistics,Math & Insurances

A new flexible Weibull distribution for modeling real-life data: Improved estimators, properties, and applications.

AIMS Mathematics • 2025
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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.
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