Geodesic
The zero truncated Poisson Burr X family of distributions with properties, characterizations, applications, and validation test
Abouelmagd, T. H. M.1 ; Hamed, Mohammed S.1 ; Hamedani, G. G. 2 ; Ali, M. Masoom 3 ; Goual, Hafida 4 ; Korkmaz, Mustafa C. 5 ; Yousof, Haitham M. 6
1 Management Information System Department, Taibah University, Saudi Arabia
2 Department of Mathematics, Statistics and Computer Science, Marquette University, USA
3 Department of Mathematical Sciences, Ball State University, Muncie, USA
4 Laboratory of Probability and Statistics, University of Badji Mokhtar, Annaba, Algeria
5 Department of Measurement and Evaluation, Artvin Coruh University, Artvin, TURKEY
6 Department of Statistics, Mathematics and Insurance, Benha University, Egypt
Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 5, p. 314-336.

Voir la notice de l'article provenant de la source International Scientific Research Publications

The goal of this work is to introduce a new family of continuous distributions with a strong physical applications. Some statistical properties are derived, and certain useful characterizations of the proposed family of distributions are presented. Five applications are provided to illustrate the importance of the new family. A modified goodness-of- fit test for the new family in complete data case are investigated via two examples. We propose, as a first step, the construction of Nikulin-Rao-Robson statistic based on chi-squared fit tests for the new family in the case of complete data. The new test is based on the Nikulin-Rao-Robson statistic separately proposed by [M. S. Nikulin, Theory Probab. Appl., $\textbf{18}$ (1974), 559--568] and [K. C. Rao, B. S. Robson, Comm. Statist., $\textbf{3}$ (1974), 1139--1153]. As a second step, an application to real data has been proposed to show the applicability of the proposed test.
DOI : 10.22436/jnsa.012.05.05
Classification : 60E05, 62F10
Keywords: Validation test, maximum likelihood estimation, generating function, moments, zero truncated Poisson

Abouelmagd, T. H. M. 1 ; Hamed, Mohammed S. 1 ; Hamedani, G. G.  2 ; Ali, M. Masoom  3 ; Goual, Hafida  4 ; Korkmaz, Mustafa C.  5 ; Yousof, Haitham M.  6

1 Management Information System Department, Taibah University, Saudi Arabia
2 Department of Mathematics, Statistics and Computer Science, Marquette University, USA
3 Department of Mathematical Sciences, Ball State University, Muncie, USA
4 Laboratory of Probability and Statistics, University of Badji Mokhtar, Annaba, Algeria
5 Department of Measurement and Evaluation, Artvin Coruh University, Artvin, TURKEY
6 Department of Statistics, Mathematics and Insurance, Benha University, Egypt 
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     title = {The zero truncated {Poisson} {Burr} {X} family of distributions with properties, characterizations, applications, and validation test},
     journal = {Journal of nonlinear sciences and its applications},
     pages = {314-336},
     publisher = {mathdoc},
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Abouelmagd, T. H. M.; Hamed, Mohammed S.; Hamedani, G. G. ; Ali, M. Masoom ; Goual, Hafida ; Korkmaz, Mustafa C. ; Yousof, Haitham M. . The zero truncated Poisson Burr X family of distributions with properties, characterizations, applications, and validation test. Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 5, p. 314-336. doi : 10.22436/jnsa.012.05.05. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.012.05.05/

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