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Dr. Mohamed Sewalim El-sayed Hamed :: Publications: |
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| Title: | Extended Poisson-Frechet Distribution:
Mathematical Properties and Applications to
Survival and Repair Times |
| Authors: | M. S. Hamed |
| Year: | 2020 |
| Keywords: | Zero Truncated Poisson Distribution; Frechet Distribution; Maximum Like- lihood Estimation; Simulation; Generating Function; Moments; Order Statistics. |
| Journal: | Journal of Data Science, |
| Volume: | 18 |
| Issue: | 2 |
| Pages: | 319 |
| Publisher: | 342 |
| Local/International: | International |
| Paper Link: | |
| Full paper | Mohamed Sewalim Elsayed Hamed_Extended Poisson-Frechet Distribution.pdf |
| Supplementary materials | Not Available |
| Abstract: |
In this paper, a new four parameter zero truncated Poisson Frechet distribution is de ned and studied. Various structural mathematical properties of the proposed model including ordinary moments, incomplete moments, generating functions, order statistics, residual and reversed residual life functions are investigated. The maximum likelihood method is used to estimate the model parameters. We assess the performance of the max- imum likelihood method by means of a numerical simulation study. The new distribution is applied for modeling two real data sets to illustrate empirically its exibility. |
