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The Exponentiated Generalized Topp Leone-G Family of Distributions: Properties and Applications


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


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.





Pakistan Journal of Statistics and Operation Research; Vol. 15 No. 1, 2019

Print ISSN: 1816-2711 | Electronic ISSN: 2220-5810