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Dr. Ahmed Z. Afify :: Publications: |
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| Title: | The Transmuted Marshall-Olkin Frechet Distribution:
Properties and Applications |
| Authors: | Ahmed Z. Afify; G. G. Hamedani; Indranil Ghosh; M. E. Mead |
| Year: | 2015 |
| Keywords: | Transmuted family, generating Function, R´ enyi Entropy, order Statistics, maximum Likelihood estimation, Marshall-Olkin Fr´ echet distribution |
| Journal: | International Journal of Statistics and Probability |
| Volume: | 4 |
| Issue: | 4 |
| Pages: | 132-148 |
| Publisher: | Canadian Center of Science and Education |
| Local/International: | International |
| Paper Link: | |
| Full paper | Ahmed Zakarya Mohammad Afify_TMOFr_2015_IJSP.pdf |
| Supplementary materials | Not Available |
| Abstract: |
This paper introduces a new four-parameter lifetime model, which extends the Marshall-Olkin Frechet distribution introduced by Krishna et al. (2013), called the transmuted Marshall-Olkin Fr ´ echet distribution. Various structural properties including ordinary and incomplete moments, quantile and generating function, Renyi and q-entropies and order statistics are derived. The maximum likelihood method is used to estimate the model parameters. We illustrate the superiority of the proposed distribution over other existing distributions in the literature in modeling two real life data sets. |
