Tan-G class of trigonometric distributions and its applications

Abstract 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 ent...

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Autores principales:	Souza,Luciano, O. Júnior,Wilson Rosa de, Brito,Cícero Carlos R. de, Chesneau,Christophe, Fernandes,Renan L., Ferreira,Tiago A. E.
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2021
Materias:	Trigonometric class of distributions Tangent function Burr XII distribution Maximum likelihood estimation Entropy
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462021000100001
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spelling	oai:scielo:S0719-064620210001000012021-05-11Tan-G class of trigonometric distributions and its applicationsSouza,LucianoO. Júnior,Wilson Rosa deBrito,Cícero Carlos R. deChesneau,ChristopheFernandes,Renan L.Ferreira,Tiago A. E. Trigonometric class of distributions Tangent function Burr XII distribution Maximum likelihood estimation Entropy Abstract 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.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.23 n.1 20212021-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462021000100001en10.4067/S0719-06462021000100001
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Trigonometric class of distributions Tangent function Burr XII distribution Maximum likelihood estimation Entropy
spellingShingle	Trigonometric class of distributions Tangent function Burr XII distribution Maximum likelihood estimation Entropy Souza,Luciano O. Júnior,Wilson Rosa de Brito,Cícero Carlos R. de Chesneau,Christophe Fernandes,Renan L. Ferreira,Tiago A. E. Tan-G class of trigonometric distributions and its applications
description	Abstract 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.
author	Souza,Luciano O. Júnior,Wilson Rosa de Brito,Cícero Carlos R. de Chesneau,Christophe Fernandes,Renan L. Ferreira,Tiago A. E.
author_facet	Souza,Luciano O. Júnior,Wilson Rosa de Brito,Cícero Carlos R. de Chesneau,Christophe Fernandes,Renan L. Ferreira,Tiago A. E.
author_sort	Souza,Luciano
title	Tan-G class of trigonometric distributions and its applications
title_short	Tan-G class of trigonometric distributions and its applications
title_full	Tan-G class of trigonometric distributions and its applications
title_fullStr	Tan-G class of trigonometric distributions and its applications
title_full_unstemmed	Tan-G class of trigonometric distributions and its applications
title_sort	tan-g class of trigonometric distributions and its applications
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2021
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462021000100001
work_keys_str_mv	AT souzaluciano tangclassoftrigonometricdistributionsanditsapplications AT ojuniorwilsonrosade tangclassoftrigonometricdistributionsanditsapplications AT britocicerocarlosrde tangclassoftrigonometricdistributionsanditsapplications AT chesneauchristophe tangclassoftrigonometricdistributionsanditsapplications AT fernandesrenanl tangclassoftrigonometricdistributionsanditsapplications AT ferreiratiagoae tangclassoftrigonometricdistributionsanditsapplications
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Tan-G class of trigonometric distributions and its applications

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