Geodesic
A new two parameter Burr XII distribution: properties, copula, different estimation methods, and modeling acute bone cancer data
Mansour, M. M.1 ; Yousof, Haitham M.2 ; Shehata, Wahid A. M. 3 ; Ibrahim, Mohamed 4
1 Department of MIS, Yanbu, Taibah University, Saudi Arabia
2 Department of Statistics, Mathematics and Insurance, Benha University, Benha, Egypt
3 Department of Mathematics, Statistics and Insurance, Faculty of Business, Ain Shams University, Egypt
4 Department of Applied Statistics and Insurance, Faculty of Commerce, Damietta University, Damietta, Egypt
Journal of nonlinear sciences and its applications, Tome 13 (2020) no. 5, p. 223-238.

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

We present a new two parameter Burr XII distribution. The new density can be right skewed with no peak, unimodal-right skewed, left skewed and symmetric. The new failure rate can be decreasing, unimodal and increasing. Properties related to the new model are derived. Simple type copula-based construction is presented for deriving some new bivariate and multivariate type distributions. The maximum likelihood estimation, Anderson Darling estimation, right tail Anderson Darling estimation and left tail Anderson Darling estimation methods are used to estimate the model parameters. A new data set is analyzed for comparing estimations methods and the competitive models.
DOI : 10.22436/jnsa.013.05.01
Classification : 62E10, 60E05
Keywords: Burr XII distribution, copula, asymptotics, moments, maximum likelihood method, Anderson Darling

Mansour, M. M. 1 ; Yousof, Haitham M. 2 ; Shehata, Wahid A. M.  3 ; Ibrahim, Mohamed  4

1 Department of MIS, Yanbu, Taibah University, Saudi Arabia
2 Department of Statistics, Mathematics and Insurance, Benha University, Benha, Egypt
3 Department of Mathematics, Statistics and Insurance, Faculty of Business, Ain Shams University, Egypt
4 Department of Applied Statistics and Insurance, Faculty of Commerce, Damietta University, Damietta, Egypt 
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     title = {A new two parameter {Burr} {XII} distribution: properties, copula, different estimation methods, and modeling acute bone cancer data},
     journal = {Journal of nonlinear sciences and its applications},
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Mansour, M. M.; Yousof, Haitham M.; Shehata, Wahid A. M. ; Ibrahim, Mohamed . A new two parameter Burr XII distribution: properties, copula, different estimation methods, and modeling acute bone cancer data. Journal of nonlinear sciences and its applications, Tome 13 (2020) no. 5, p. 223-238. doi : 10.22436/jnsa.013.05.01. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.013.05.01/

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