The Topp-Leone odd log-logistic family of distributions

作者：Brito E^*; Cordeiro G M; Yousof H M; Alizadeh M; Silva G O

来源：Journal of Statistical Computation and Simulation, 2017, 87(15): 3040-3058.

DOI：10.1080/00949655.2017.1351972

• Maximum likelihood
• odd log-logistic-G family
• regression model
• Topp-Leone distribution

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.

• 出版日期2017