A new two parameter Burr XII distribution: properties, copula, different estimation methods, and modeling acute bone cancer data

Volume 13, Issue 5, pp 223--238 http://dx.doi.org/10.22436/jnsa.013.05.01
Publication Date: March 03, 2020 Submission Date: December 18, 2019 Revision Date: January 01, 2020 Accteptance Date: January 16, 2020

Authors

M. M. Mansour - Department of MIS, Yanbu, Taibah University, Saudi Arabia. Haitham M. Yousof - Department of Statistics, Mathematics and Insurance, Benha University, Benha, Egypt. Wahid A. M. Shehata - Department of Mathematics, Statistics and Insurance, Faculty of Business, Ain Shams University, Egypt. Mohamed Ibrahim - Department of Applied Statistics and Insurance, Faculty of Commerce, Damietta University, Damietta, Egypt.


Abstract

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.


Share and Cite

  • Share on Facebook
  • Share on Twitter
  • Share on LinkedIn
ISRP Style

M. M. Mansour, Haitham M. Yousof, Wahid A. M. Shehata, Mohamed Ibrahim, A new two parameter Burr XII distribution: properties, copula, different estimation methods, and modeling acute bone cancer data, Journal of Nonlinear Sciences and Applications, 13 (2020), no. 5, 223--238

AMA Style

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. J. Nonlinear Sci. Appl. (2020); 13(5):223--238

Chicago/Turabian Style

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 Applications, 13, no. 5 (2020): 223--238


Keywords


MSC


References