Geodesic
A new class of distributions based on the zero truncated Poisson distribution with properties and applications
Abouelmagd, T. H. M. 1 ; Hamed, Mohammed S. 2 ; Handique, Laba 3 ; Goual, Hafida 4 ; Ali, M. Masoom 5 ; Yousof, Haitham M. 6 ; Korkmaz, Mustafa C. 7
1 Management Information System Department, Taibah University, Saudi Arabia
2 Management Information System Department, Taibah University, Assam, Saudi Arabia
3 Department of Statistics, Dibrugarh University, Assam, India
4 Laboratory of Probability and Statistics, University of Badji Mokhtar, Annaba, Algeria
5 Department of Mathematical Sciences, Ball State University, Muncie, USA
6 Department of Statistics, Mathematics and Insurance, Benha University, Egypt
7 Department of Measurement and Evaluation, ArtvinCoruh University, Artvin, Turkey
Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 3, p. 152-164.

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

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.
DOI : 10.22436/jnsa.012.03.03
Classification : 60E05, 62F10
Keywords: Topp Leone-G family, order statistics, maximum likelihood estimation, quantile function, generating function, moments

Abouelmagd, T. H. M.  1 ; Hamed, Mohammed S.  2 ; Handique, Laba  3 ; Goual, Hafida  4 ; Ali, M. Masoom  5 ; Yousof, Haitham M.  6 ; Korkmaz, Mustafa C.  7

1 Management Information System Department, Taibah University, Saudi Arabia
2 Management Information System Department, Taibah University, Assam, Saudi Arabia
3 Department of Statistics, Dibrugarh University, Assam, India
4 Laboratory of Probability and Statistics, University of Badji Mokhtar, Annaba, Algeria
5 Department of Mathematical Sciences, Ball State University, Muncie, USA
6 Department of Statistics, Mathematics and Insurance, Benha University, Egypt
7 Department of Measurement and Evaluation, ArtvinCoruh University, Artvin, Turkey 
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     title = {A new class of distributions based on the zero truncated {Poisson} distribution with properties and applications},
     journal = {Journal of nonlinear sciences and its applications},
     pages = {152-164},
     publisher = {mathdoc},
     volume = {12},
     number = {3},
     year = {2019},
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Abouelmagd, T. H. M. ; Hamed, Mohammed S. ; Handique, Laba ; Goual, Hafida ; Ali, M. Masoom ; Yousof, Haitham M. ; Korkmaz, Mustafa C. . A new class of distributions based on the zero truncated Poisson distribution with properties and applications. Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 3, p. 152-164. doi : 10.22436/jnsa.012.03.03. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.012.03.03/

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