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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Vydáno v:Journal of statistical computation and simulation Ročník 87; číslo 15; s. 3040 - 3058
Hlavní autoři: Brito, E., Cordeiro, G. M., Yousof, H. M., Alizadeh, M., Silva, G. O.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Abingdon Taylor & Francis 13.10.2017
Taylor & Francis Ltd
Témata:
Datasets
Functions (mathematics)
Logistics
Maximum likelihood
odd log-logistic-G family
regression model
Topp-Leone distribution
Weibull distribution
ISSN:0094-9655, 1563-5163
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Abstract 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.
AbstractList 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.
Author Yousof, H. M.
Silva, G. O.
Cordeiro, G. M.
Brito, E.
Alizadeh, M.
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  fullname: Yousof, H. M.
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  organization: Department of Statistics, Persian Gulf University
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  surname: Silva
  fullname: Silva, G. O.
  organization: Departamento de Estatística, Universidade Federal da Bahia
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SubjectTerms Datasets
Functions (mathematics)
Logistics
Maximum likelihood
odd log-logistic-G family
regression model
Topp-Leone distribution
Weibull distribution
Title The Topp-Leone odd log-logistic family of distributions
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