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Ass. Lect. Haitham Mosaad Elsayed Yousof khawanda :: Publications: |
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| Title: | A new class of distributions based on the zero truncated
Poisson distribution with properties and applications |
| Authors: | T. H. M. Abouelmagd, Mohammed S. Hameda, Laba Handique, Hafida Goual, M. Masoom Ali, Haitham M. Yousof, Mustafa C¸ . Korkmaz |
| Year: | 2018 |
| Keywords: | Topp Leone-G family, order statistics, maximum likelihood estimation, quantile function, generating function, moments. |
| Journal: | Journal of Nonlinear Sciences and Applications (J. Nonlinear Sci. Appl.) |
| Volume: | 12 |
| Issue: | 3 |
| Pages: | 152–164 |
| Publisher: | International Scientific Research Publications |
| Local/International: | International |
| Paper Link: | |
| Full paper | Haitham Mosaad Elsayed Yousof khawanda_a_new_class_of_distributions_based_on_the_zero_truncated_poisson_distribution_with_properties_and_applications-1543589735.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. |
