Flexible families of symmetric and asymmetric distributions based on the two-piece skew normal distribution

Najme Sharifipanah, Rahim Chinipardaz, Gholam Ali Parham and Reinaldo Boris Arellano-Valle

Communications in Statistics - Theory and Methods, 2021, vol. 50, issue 10, 2281-2305

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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:taf:lstaxx:v:50:y:2021:i:10:p:2281-2305

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DOI: 10.1080/03610926.2019.1664585

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