Main Article Content

Abstract

A new distribution called the Weibull Generalized Burr XII distribution is introduced along with simple physical motivation. The new distribution includes fourteen sub-models, seven of them are new. The new model can be used in modeling bimodal data sets. Set of its properties are derived in details. Two applications are provided to illustrate the importance of the new model. The new model is better that other competitive models via two applications. The method of maximum likelihood is used to estimate the unknown parameters.

Keywords

Burr XII Distribution Maximum Likelihood Generating Function Moments.

Article Details

Author Biographies

Mohamed Abo Raya, Department of Applied Statistics and Insurance, Damietta University, Egypt.

Department of Applied Statistics and Insurance, Damietta University, Egypt.

Nadeem Shafique Butt, Department of Family and Community Medicine King Abdul Aziz University, Jeddah, Kingdom of Saudi Arabia.

Department of Family and Community Medicine King Abdul Aziz University, Jeddah, Kingdom of Saudi Arabia.
How to Cite
Raya, M. A., & Butt, N. S. (2019). Extended Weibull Burr XII Distribution: Properties and Applications. Pakistan Journal of Statistics and Operation Research, 15(4), 891-903. https://doi.org/10.18187/pjsor.v15i4.2731