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

Author

Listed:
  • Najme Sharifipanah
  • Rahim Chinipardaz
  • Gholam Ali Parham
  • Reinaldo Boris Arellano-Valle

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.

Suggested Citation

  • Najme Sharifipanah & Rahim Chinipardaz & Gholam Ali Parham & Reinaldo Boris Arellano-Valle, 2021. "Flexible families of symmetric and asymmetric distributions based on the two-piece skew normal distribution," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 50(10), pages 2281-2305, May.
    • Handle: RePEc:taf:lstaxx:v:50:y:2021:i:10:p:2281-2305
    DOI: 10.1080/03610926.2019.1664585
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