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Prof. Zohdy Mohamed Nofal Abd Elkhalek :: Publications: |
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| Title: | A new extension of the Fréchet distribution: Properties and its
characterization |
| Authors: | Zohdy M. Nofala and M. Ahsanullahb |
| Year: | 2018 |
| Keywords: | Fréchet model; generalized transmuted-G family; order statistics’maximum likelihood; moments; characterization |
| Journal: | Communications in Statistics– theory and methods |
| Volume: | Not Available |
| Issue: | Not Available |
| Pages: | Not Available |
| Publisher: | Not Available |
| Local/International: | International |
| Paper Link: | |
| Full paper | Zohdy Mohamed Nofal Abd Elkhalek_A new extension of the Fr chet distribution Properties and its characterization.pdf |
| Supplementary materials | Not Available |
| Abstract: |
A new lifetimemodel, which extends the Fréchet distribution called the generalized transmuted Fréchet distribution is proposed and studied. Various of its structural properties including ordinary and incomplete moments, generating function, residual and reversed residual lifes, order statistics and probability weighted moments are derived. Two characterization theorems are presented. The maximum likelihood method is used to estimate themodel parameters. The flexibility of the new distribution is illustrated using a real data set. It can serve as an alternative model to other lifetime models available in the literature for modeling positive real data in many areas. |
