Skew-symmetric generalized normal and generalized t distributions
| dc.contributor.author | Rad, Najmeh Nakhaei | |
| dc.contributor.author | Salehi, Mahdi | |
| dc.contributor.author | Mehrali, Yaser | |
| dc.contributor.author | Chen, Ding-Geng (Din) | |
| dc.contributor.email | din.chen@up.ac.za | en_US |
| dc.date.accessioned | 2025-02-05T12:48:19Z | |
| dc.date.available | 2025-02-05T12:48:19Z | |
| dc.date.issued | 2024-11 | |
| dc.description | DATA AVAILABITY STATEMENT: Data are contained within the article. | en_US |
| dc.description | This article forms part of a special Issue titled 'Methods and Applications of Advanced Statistical Analysis, 2nd Edition'. | en_US |
| dc.description.abstract | In this paper, we introduce the skew-symmetric generalized normal and the skewsymmetric generalized t distributions, which are skewed extensions of symmetric special cases of generalized skew-normal and generalized skew-t distributions, respectively. We derive key distributional properties for these new distributions, including a recurrence relation and an explicit form for the cumulative distribution function (cdf) of the skew-symmetric generalized t distribution. Numerical examples including a simulation study and a real data analysis are presented to illustrate the practical applicability of these distributions. | en_US |
| dc.description.department | Statistics | en_US |
| dc.description.sdg | SDG-04:Quality Education | en_US |
| dc.description.sdg | SDG-09: Industry, innovation and infrastructure | en_US |
| dc.description.uri | https://www.mdpi.com/journal/axioms | en_US |
| dc.identifier.citation | Nakhaei Rad, N.; Salehi, M.; Mehrali, Y.; Chen, D.-G. SkewSymmetric Generalized Normal and Generalized t Distributions. Axioms 2024, 13, 782. https://doi.org/10.3390/axioms13110782. | en_US |
| dc.identifier.issn | 2075-1680 (online) | |
| dc.identifier.other | 10.3390/axioms13110782 | |
| dc.identifier.uri | http://hdl.handle.net/2263/100549 | |
| dc.language.iso | en | en_US |
| dc.publisher | MDPI | en_US |
| dc.rights | © 2024 by the authors. Licensee MDPI, Basel, Switzerland. This article is an Open Access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:// creativecommons.org/licenses/by/ 4.0/). | en_US |
| dc.subject | Skew-normal distribution | en_US |
| dc.subject | Skew-t distribution | en_US |
| dc.subject | Generalized skew-normal distribution | en_US |
| dc.subject | Generalized skew-t distribution | en_US |
| dc.subject | Skew-symmetric distributions | en_US |
| dc.subject | Recurrence relations | en_US |
| dc.subject | SDG-04: Quality education | en_US |
| dc.subject | SDG-09: Industry, innovation and infrastructure | en_US |
| dc.title | Skew-symmetric generalized normal and generalized t distributions | en_US |
| dc.type | Article | en_US |