Ahmed Z. Afify
Asst. Professor
Type II exponentiated half logistic generated family of distributions with applications.
Electronic Journal of Applied Statistical Analysis • 2020
Publication Information
Authors
Al-Mofleh, H., Elgarhy, M., Afify A. Z. and Zannon, M.
Keywords
Not Available
Journal
Electronic Journal of Applied Statistical Analysis
Publisher
Not Available
Volume
13
Issue
Not Available
Pages
536-561
publication.type
International
Paper Link
Open Link
Supplementary Materials
Not Available
Abstract
This paper introduces the Marshall–Olkin Weibull–Fréchet (MOWFr) distribution, a modified form of the Fréchet model that demonstrates improved fitting capabilities compared to established generalizations. We present key properties of the MOWFr distribution, noting that its density function can be symmetric, right-skewed, or unimodal. The failure rate can exhibit monotonically increasing, J-shaped, and modified bathtub patterns, making it a flexible tool for analyzing real-life data across various fields. We briefly describe several frequentist approaches for estimating the MOWFr parameters and evaluate their performance through simulation studies, ranked by partial and overall effectiveness for small and large samples. The results indicate that maximum likelihood estimation is the most effective method for parameter estimation. Finally, we illustrate the practical applicability of the MOWFr distribution by modeling two real-life medical datasets.
