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Dr. Mohamed Sewalim El-sayed Hamed :: Publications: |
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| Title: | A new class of distributions based on the zero truncated
Poisson distribution with properties and applications |
| Authors: | Mohamed Sewalim Hamed |
| Year: | 2019 |
| Keywords: | Topp Leone-G family, order statistics, maximum likelihood estimation, quantile function, generating function, moments. |
| Journal: | Journal of Nonlinear Sciences and Applications (JNSA) |
| Volume: | 12 |
| Issue: | 3 |
| Pages: | 152-164 |
| Publisher: | ISR-Publications |
| Local/International: | International |
| Paper Link: | |
| Full paper | Mohamed Sewalim Elsayed Hamed_A new class of distributions based on the zero truncated.pdf |
| Supplementary materials | Not Available |
| Abstract: |
We study a new family of distributions defined by the minimum of the Poisson random number of independent and identically distributed random variables having the Topp Leone-G distribution. Some mathematical properties of the new family are derived. Maximum likelihood estimation of the model parameters is investigated. Two special models of the new family are discussed. We perform three applications to real data sets to show the potentiality of the proposed family. In order to test the validity of the new family, a modified Chi-squared goodness-of-fit test based on Nikulin-Rao-Robson statistics is proposed theoretically. |
