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Dr. Ahmed Z. Afify :: Publications: |
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| Title: | The Kumaraswamy transmuted-G family of distributions: Properties and applications |
| Authors: | Ahmed Z. Afify;Gauss M. Cordeiro;Haitham M. Yousof;Ayman Alzaatreh;Zohdy M. Nofal |
| Year: | 2016 |
| Keywords: | Generating Function;Kumaraswamy-G Family;Maximum Likelihood;Order Statistic;Probability Weighted Moment;Transmuted Family |
| Journal: | Journal of Data Science |
| Volume: | 14 |
| Issue: | 2 |
| Pages: | 245-270 |
| Publisher: | Not Available |
| Local/International: | International |
| Paper Link: | |
| Full paper | Not Available |
| Supplementary materials | Not Available |
| Abstract: |
We introduce a new class of continuous distributions called the Kumaraswamy transmuted-G family which extends the transmuted class defined by Shaw and Buckley (2007). Some special models of the new family are provided. Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, generating function, Rényi and Shannon entropies, order statistics and probability weighted moments are derived. The maximum likelihood is used for estimating the model parameters. The flexibility of the generated family is illustrated by means of two applications to real data sets. |
