The Topp-Leone odd log-logistic family of distributions

We introduce a new class of continuous distributions named the Topp-Leone odd log-logistic family, which extends the one-parameter distribution pioneered by Topp and Leone [A family of J-shaped frequency functions. J Amer Statist Assoc. 1955;50:209-219]. We study some of its mathematical properties...

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Bibliographic Details
Published in:	Journal of statistical computation and simulation Vol. 87; no. 15; pp. 3040 - 3058
Main Authors:	Brito, E., Cordeiro, G. M., Yousof, H. M., Alizadeh, M., Silva, G. O.
Format:	Journal Article
Language:	English
Published:	Abingdon Taylor & Francis 13-10-2017 Taylor & Francis Ltd
Subjects:	Datasets Functions (mathematics) Logistics Maximum likelihood odd log-logistic-G family regression model Topp-Leone distribution Weibull distribution
Online Access:	Get full text
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Summary:	We introduce a new class of continuous distributions named the Topp-Leone odd log-logistic family, which extends the one-parameter distribution pioneered by Topp and Leone [A family of J-shaped frequency functions. J Amer Statist Assoc. 1955;50:209-219]. We study some of its mathematical properties and describe two special cases. Further, we propose a regression model based on the new Topp-Leone odd log-logistic Weibull distribution. The usefulness and flexibility of the proposed family are illustrated by means of three real data sets.
ISSN:	0094-9655 1563-5163
DOI:	10.1080/00949655.2017.1351972