Toward the establishment of a family of distributions that may fit any dataset. Issue 8 (14th September 2017)

• Record Type: Journal Article
• Authors: Barakat, H. M.; Khaled, O. M.
• Is Part Of: Communications in statistics. Volume 46:Issue 8(2017)
• Page Start: 6129
• Page End: 6143
• Publication Date: 2017-09-14
• Subjects: Data modeling -- Full family of distributions -- Kurtosis -- Mixture distribution -- Skewness; 62-07 -- 62E10 -- 62F99; Mathematical statistics -- Periodicals; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5
• DOI: 10.1080/03610918.2016.1197245
• Languages: English
• ISSNs: 0361-0918

Abstract

ABSTRACT: This article presents a review and comparison of the most important expanded families of distributions. We set the essential requirements by which an expanding family can fit any dataset successfully. A new method is proposed to construct families, which fulfill these essential requirements. Consequently, two families are suggested, which are more tractable than many other known families and possess very wide range of the indices of skewness and kurtosis. The article is motivated by two applications to real dataset.