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

Sharifipanah N.; Chinipardaz R.; Parham G.A.; Arellano-Valle R.B.

Keywords: piece, 0, truncated; 60E05; 62E15; Symmetric; bimodality; skew, symmetric; two

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.

Más información

Título según SCOPUS: Flexible families of symmetric and asymmetric distributions based on the two-piece skew normal distribution
Título de la Revista: Communications in Statistics - Theory and Methods
Volumen: 50
Número: 10
Editorial: Taylor and Francis Inc.
Fecha de publicación: 2021
Página final: 2305
Idioma: English
DOI:

10.1080/03610926.2019.1664585

Notas: SCOPUS