A new exponentiated class of distributions: Properties and applications. Issue 12 (18th June 2017)

• Record Type: Journal Article
• Authors: Rezaei, S.; Marvasty, A. K.; Nadarajah, S.; Alizadeh, M.
• Is Part Of: Communications in statistics. Volume 46:Issue 12(2017)
• Page Start: 6054
• Page End: 6073
• Publication Date: 2017-06-18
• Subjects: Bivariate extension -- Exponentiated distribution -- Generated family -- Order statistic -- The exponentiated generalized class of distributions.; 62E99; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2015.1116579
• Languages: English
• ISSNs: 0361-0926

Abstract

ABSTRACT: Motivated by series-parallel-series systems, we introduce a new generator of continuous distributions with three extra parameters called the generalized exponentiated class of distributions . We study its mathematical properties and introduce a bivariate extension of the class. We discuss the estimation of its parameters by maximum likelihood and illustrate the potentiality of the class by applications to two real datasets.