Tan-G class of trigonometric distributions and its applications

Cubo

卷:23

Renan L. Fernandes¹  Cícero Carlos R. de Brito²  Christophe Chesneau³  Tiago A. E. Ferreira⁴  Wilson Rosa de O. Júnior⁴  Luciano Souza⁵ 

[1] Centro de Informática, Universidade Federal de Pernambuco, Recife/PE, Brazil.;

[2] Federal Institute of Pernambuco, Pernambuco / PE, Brazil.;

[3] LMNO, University of Caen-Normandie, Caen, 14032, France.;

[4] PPGBEA, Federal Rural University of Pernambuco, Recife / PE, Brazil.;

[5] UFAPE, Federal University of Agreste of Pernambuco, Garanhuns / PE, Brazil.;

关键词: trigonometric class of distribution;    tangent function;    burr xii distribution;    maximum likelihood estimation;    entropy;   

DOI  :  10.4067/S0719-06462021000100001

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown