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In this paper, we propose a new class of continuous distributions called the exponentiated generalized Topp Leone-G family that extends the Topp Leone-G family introduced by Al-Shomrani et al. (2016). We derive explicit expressions for certain mathematical properties of the new family such as; ordinary and incomplete moments, generating functions, reliability analysis, Lorenz and Bonferroni curves, Rényi entropy, stress strength model, moment of residual and reversed residual life, order statistics and extreme values. We discuss the maximum likelihood estimates and the observed information matrix for the model parameters. Two real data sets are used to illustrate the flexibility of the new family.


Exponentiated Generalized-G family Maximum Likelihood Estimation Moments Order Statistics Topp Leone-G family.

Article Details

Author Biography

Hesham Mohamed Reyad, Qassim university

Unit of quantitative methods, Assistant of Professor

How to Cite
Reyad, H. M., Alizadeh, M., Jamal, F., Othman, S., & Hamedani, G. (2019). The Exponentiated Generalized Topp Leone G Family of Distributions: Properties and Applications. Pakistan Journal of Statistics and Operation Research, 15(1), 1-24.