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Prof. Zohdy Mohamed Nofal Abd Elkhalek :: Publications: |
Title: | The Weibull Fréchet distribution and its
applications |
Authors: | Ahmed Z. Afify, Haitham M. Yousof, Gauss M. Cordeiro, Edwin M. M. Ortega & Zohdy M. Nofal |
Year: | 2016 |
Keywords: | Maximum likelihood; moment; order statistics; probability weighted moment; Rényientropy; Weibull G-family |
Journal: | JOURNAL OF APPLIED STATISTICS |
Volume: | 43 |
Issue: | 14 |
Pages: | 2608–2626 |
Publisher: | Not Available |
Local/International: | International |
Paper Link: | |
Full paper | Zohdy Mohamed Nofal Abd Elkhalek_The Weibull Frechet distribution and its applications.pdf |
Supplementary materials | Not Available |
Abstract: |
A new four-parameter lifetime model called the Weibull Fréchet distribution is defined and studied. Various of its structural properties including ordinary and incomplete moments, quantile and generating functions, probability weighted moments, Rényi and δ-entropies and order statistics are investigated. The new density function can be expressed as a linear mixture of Fréchet densities. The maximum likelihood method is used to estimate the model parameters. The new distribution is applied to two real data sets to prove empirically its flexibility. It can serve as an alternative model to other lifetime distributions in the existing literature for modeling positive real data in many areas. |