A new generalized two-sided class of distributions with an emphasis on two-sided generalized normal distribution. Issue 2 (7th February 2017)

• Record Type: Journal Article
• Authors: Korkmaz, Mustafa Ç.; Genç, Ali İ.
• Is Part Of: Communications in statistics. Volume 46:Issue 2(2017)
• Page Start: 1441
• Page End: 1460
• Publication Date: 2017-02-07
• Subjects: Generalized normal distribution -- Mixture of truncated distributions -- Standard two-sided power distribution -- Two-sided generalized distributions; 62E10 -- 62F10; Mathematical statistics -- Periodicals; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5
• DOI: 10.1080/03610918.2015.1005233
• Languages: English
• ISSNs: 0361-0918

Abstract

ABSTRACT: The ordinary-G class of distributions is defined to have the cumulative distribution function (cdf) as the value of the cdf of the ordinary distribution F whose range is the unit interval at G, that is, F(G), and it generalizes the ordinary distribution. In this work, we consider the standard two-sided power distribution to define other classes like the beta-G and the Kumaraswamy-G classes. We extend the idea of two-sidedness to other ordinary distributions like normal. After studying the basic properties of the new class in general setting, we consider the two-sided generalized normal distribution with maximum likelihood estimation procedure.