Geodesic
The Marshall-Olkin exponentiated generalized G family of distributions: properties, applications, and characterizations
Yousof, Haitham M. 1 ; Rasekhi, Mahdi 2 ; Alizadeh, Morad 3 ; Hamedani, G. G. 4
1 Department of Statistics, Mathematics and Insurance, Benha University, Egypt
2 Department of Statistics, Malayer University, Malayer, Iran
3 Department of Statistics, Faculty of Sciences, Persian Gulf University, Bushehr, 75169, Iran
4 Department of Mathematics, Statistics and Computer Science, Marquette University, USA
Journal of nonlinear sciences and its applications, Tome 13 (2020) no. 1, p. 34-52.

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

In this paper, we propose and study a new class of continuous distributions called the Marshall-Olkin exponentiated generalized G (MOEG-G) family which extends the Marshall-Olkin-G family introduced by Marshall and Olkin [A. W. Marshall, I. Olkin, Biometrika, $\bf 84$ (1997), 641--652]. Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, generating function, order statistics and probability weighted moments are derived. Some characterizations for the new family are presented. Maximum likelihood estimation for the model parameters under uncensored and censored data is addressed in Section 5 as well as a simulation study to assess the performance of the estimators. The importance and flexibility of the new family are illustrated by means of two applications to real data sets.
DOI : 10.22436/jnsa.013.01.04
Classification : 60E05, 62E10
Keywords: Marshall-Olkin family, characterizations, censored Data, generating function, order statistics, maximum likelihood estimation

Yousof, Haitham M.  1 ; Rasekhi, Mahdi  2 ; Alizadeh, Morad  3 ; Hamedani, G. G.  4

1 Department of Statistics, Mathematics and Insurance, Benha University, Egypt
2 Department of Statistics, Malayer University, Malayer, Iran
3 Department of Statistics, Faculty of Sciences, Persian Gulf University, Bushehr, 75169, Iran
4 Department of Mathematics, Statistics and Computer Science, Marquette University, USA 
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Yousof, Haitham M. ; Rasekhi, Mahdi ; Alizadeh, Morad ; Hamedani, G. G. . The Marshall-Olkin exponentiated generalized G family of distributions: properties, applications, and characterizations. Journal of nonlinear sciences and its applications, Tome 13 (2020) no. 1, p. 34-52. doi : 10.22436/jnsa.013.01.04. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.013.01.04/

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