| dc.creator | Souza, Luciano | |
| dc.creator | de O. Júnior, Wilson Rosa | |
| dc.creator | de Brito, Cícero Carlos R. | |
| dc.creator | Chesneau, Christophe | |
| dc.creator | Fernandes, Renan L. | |
| dc.creator | Ferreira, Tiago A. E. | |
| dc.date | 2021-04-13 | |
| dc.date.accessioned | 2021-08-17T20:35:26Z | |
| dc.date.available | 2021-08-17T20:35:26Z | |
| dc.identifier | http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2594 | |
| dc.identifier | 10.4067/S0719-06462021000100001 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/174242 | |
| dc.description | In this paper, we introduce a new general class of trigonometric distributions based on the tangent function, called the Tan-G class. A mathematical procedure of the Tan-G class is carried out, including expansions for the probability density function, moments, central moments and Rényi entropy. The estimates are acquired in a non-closed form by the maximum likelihood estimation method. Then, an emphasis is put on a particular member of this class defined with the Burr XII distribution as baseline, called the Tan-BXII distribution. The inferential properties of the Tan-BXII model are investigated. Finally, the Tan-BXII model is applied to a practical data set, illustrating the interest of the Tan-G class for the practitioner. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad de La Frontera. Temuco, Chile. | en-US |
| dc.relation | http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2594/2060 | |
| dc.rights | Copyright (c) 2021 L. Souza et al. | en-US |
| dc.rights | https://creativecommons.org/licenses/by-nc/4.0/ | en-US |
| dc.source | CUBO, A Mathematical Journal; Vol. 23 No. 1 (2021); 01–20 | en-US |
| dc.source | CUBO, A Mathematical Journal; Vol. 23 Núm. 1 (2021); 01–20 | es-ES |
| dc.source | 0719-0646 | |
| dc.source | 0716-7776 | |
| dc.subject | Trigonometric class of distributions | en-US |
| dc.subject | Tangent function | en-US |
| dc.subject | Burr XII distribution | en-US |
| dc.subject | Maximum likelihood estimation | en-US |
| dc.subject | Entropy | en-US |
| dc.title | Tan-G class of trigonometric distributions and its applications | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
