The Topp–Leone odd log-logistic family of distributions. Issue 15 (13th October 2017)

• Record Type: Journal Article
• Authors: Brito, E.; Cordeiro, G. M.; Yousof, H. M.; Alizadeh, M.; Silva, G. O.
• Is Part Of: Journal of statistical computation and simulation. Volume 87:Issue 15(2017)
• Page Start: 3040
• Page End: 3058
• Publication Date: 2017-10-13
• Subjects: Maximum likelihood -- odd log-logistic-G family -- regression model -- Topp–Leone distribution; 62N01 -- 62N02 -- 62P99; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5028505
• DOI: 10.1080/00949655.2017.1351972
• Languages: English
• ISSNs: 0094-9655

Abstract

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.