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Ass. Lect. Haitham Mosaad Elsayed Yousof khawanda :: Publications: |
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| Title: | The Exponentiated Generalized-G Poisson
Family of Distributions |
| Authors: | Gokarna R. Aryal and Haitham M. Yousof |
| Year: | 2017 |
| Keywords: | Exponentiated generalized-G family, Truncated Poisson distribution, Order statistics, Maximum likelihood estimation, Goodnessof- Fit. |
| Journal: | Stochastics and Quality Control |
| 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_EGGP_SQC.pdf |
| Supplementary materials | Not Available |
| Abstract: |
In this article we propose and study a new family of distributions which is defined by using the genesis of the truncated Poisson distribution and the exponentiated generalized-G distribution. Some mathematical properties of the new family including ordinary and incomplete moments, quantile and generating functions, mean deviations, order statistics and their moments, reliability and Shannon entropy are derived. Estimation of the parameters using the method of maximum likelihood is discussed. Although this generalization can be used to generalize many other distributions we study three special models. The importance and flexibility of the new family are illustrated by means of real world data analysis. |
