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In this paper, we present flexible generalized log Burr XII (GLBXII) distribution developed on basis of generalized log Pearson differential equation. GLBXII distribution is also obtained from compounding mixture of distributions. Some structural and mathematical properties including moments, inequality measures, uncertainty measures and reliability measures are theoretically established. Characterizations of GLBXII distribution are studied through different techniques. Parameters of GLBXII distribution are estimated using maximum likelihood method. Goodness of fit of probability distribution through different methods is studied.


Moments Uncertainty Reliability Characterizations Maximum Likelihood

Article Details

Author Biographies

Fiaz Ahmad Bhatti, NCBA&E, Lahore

Deptt. of Statistics, Ph.D. Scholar

Azeem Ali, Government College University, Lahore, Pakistan, Email

Department of Statistics, Assistant Professor

G.G. Hamedani, Marquette University, Milwaukee, WI 53201-1881, USA, Email:

Department of Mathematics, Statistics and Computer Science, Professor

Munir Ahmad, NCBA&E, Lahore

Department of Mathemetics and Statistics, Professor
How to Cite
Bhatti, F. A., Ali, A., Hamedani, G., & Ahmad, M. (2018). On Generalized Log Burr Xii Distribution. Pakistan Journal of Statistics and Operation Research, 14(3), 615-643.