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