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/v7i130170Abstract
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.
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