Tan-G class of trigonometric distributions and its applications
Luciano S. de Souza, Wilson Rosa de O. Júnior, Cícero Carlos Ramos de Brito, Christophe Chesneau, Renan L. Fernandes, Tiago A. E. Ferreira
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 Rnyi 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.