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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Veröffentlicht in:Journal of statistical computation and simulation Jg. 87; H. 15; S. 3040 - 3058
Hauptverfasser: Brito, E., Cordeiro, G. M., Yousof, H. M., Alizadeh, M., Silva, G. O.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Abingdon Taylor & Francis 13.10.2017
Taylor & Francis Ltd
Schlagworte:
Datasets
Functions (mathematics)
Logistics
Maximum likelihood
odd log-logistic-G family
regression model
Topp-Leone distribution
Weibull distribution
ISSN:0094-9655, 1563-5163
Online-Zugang:Volltext
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Zusammenfassung: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.
Bibliographie:ObjectType-Article-1
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ISSN:0094-9655
1563-5163
DOI:10.1080/00949655.2017.1351972