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Ass. Lect. Haitham Mosaad Elsayed Yousof khawanda :: Publications: |
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| Title: | The Generalized Transmuted-G Family of Distributions |
| Authors: | Zohdy M. Nofal; Ahmed Z. Afifya; Haitham M. Yousof; Gauss M. Cordeiro |
| Year: | 2015 |
| Keywords: | Entropy, Generating Function, Maximum Likelihood, Order Statistic, Transmuted Family. |
| Journal: | Communications in Statistics -- Theory and Methods |
| Volume: | Not Available |
| Issue: | Not Available |
| Pages: | Not Available |
| Publisher: | Not Available |
| Local/International: | International |
| Paper Link: | Not Available |
| Full paper | Haitham Mosaad Elsayed Yousof khawanda_GT-G Family_CSTM_Accepted.pdf |
| Supplementary materials | Not Available |
| Abstract: |
We introduce a new class of continuous distributions called the generalized transmuted-G family which extends the quadratic rank trans- mutation map pioneered by Shaw and Buckley (2007). We provide six special models of the new family. 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 estimation of the model parameters is performed by maximum likelihood. The fiexibility of the proposed family is illustrated by means of three applications to real data sets. |
