Open AccessOn the Topp Leone Exponentiated-G Family of Distributions: Properties and Applications
Author(s) -
Sani Ibrahim,
Sani I. Doguwa,
Audu Isah,
Jibril Haruna Muhammad
Publication year - 2020
Publication title -
asian journal of probability and statistics
Language(s) - English
Resource type - Journals
ISSN - 2582-0230
DOI - 10.9734/ajpas/2020/v7i130170
Subject(s) - mathematics , quantile function , quantile , exponential family , maximum likelihood , function (biology) , natural exponential family , statistics , econometrics , probability density function , cumulative distribution function , evolutionary biology , biology
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.