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Research Article Open access CC BY 4.0

On the Topp Leone Exponentiated-G Family of Distributions: Properties and Applications

Sule Ibrahim, Sani Ibrahim Doguwa, Isah Audu, Jibril Haruna Muhammad

Asian Journal of Probability and Statistics · pp. 1–15 · Published 28 Mar 2020

10.9734/ajpas/2020/v7i130170

Abstract

We proposed a new family of distributions called the Topp Leone exponentiated-G family of distributions with two extra positive shape parameters, which generalizes and also extends the Topp Leone-G family of distributions. We derived some mathematical properties of the proposed family including explicit expressions for the quantile function, ordinary and incomplete moments, generating function and reliability. Some sub-models in the new family were discussed. The method of maximum likelihood was used to estimate the parameters of the sub-model. Further, the potentiality of the family was illustrated by fitting two real data sets to the mentioned sub-models.

Hazard rate reliability Kumarasway Lehmann alternative order statistics

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