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The Topp–Leone odd log-logistic family of distributions |
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| Authors: | E Brito G M Cordeiro H M Yousof M Alizadeh G O Silva |
| Institution: | 1. Departamento de Estatística, Universidade Federal da Bahia, Salvador, Bahia, Brazil;2. Departamento de Estatística, Universidade Federal de Pernambuco, Recife, Brazil;3. Department of Statistics, Mathematics and Insurance, Benha University, Benha, Egypt;4. Department of Statistics, Persian Gulf University, Bushehr, Iran |
| 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. |
| Keywords: | Maximum likelihood odd log-logistic-G family regression model Topp–Leone distribution |