Flexible families of symmetric and asymmetric distributions based on the two-piece skew normal distribution. Issue 10 (19th May 2021)

• Record Type: Journal Article
• Authors: Sharifipanah, Najme; Chinipardaz, Rahim; Parham, Gholam Ali; Arellano-Valle, Reinaldo Boris
• Is Part Of: Communications in statistics. Volume 50:Issue 10(2021)
• Page Start: 2281
• Page End: 2305
• Publication Date: 2021-05-19
• Subjects: Symmetric -- skew-symmetric -- two-piece -- bimodality -- 0-truncated; 60E05 -- 62E15; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2019.1664585
• Languages: English
• ISSNs: 0361-0926

Abstract

Abstract: In this article, we first introduce a procedure for the construction of a general family of symmetric distributions. Then, using Azzalini's approach, we build a rich family of asymmetric distributions. Next, we focus our attention on a specific case of this general class of asymmetric distributions, which subsumes and extends several well-known uni/bimodal asymmetric distributions. Also, the 0-truncated version of the new distribution is studied as a flexible extension of the half-normal model. Finally, the practical utility of the proposed distribution in the modeling of empirical data is investigated through a set of real-life data.