Tan-G class of trigonometric distributions and its applications

Luciano Souza; Wilson Rosa de O. Júnior; Cícero Carlos R. de Brito; Christophe Chesneau; Renan L. Fernandes; Tiago A. E. Ferreira

doi:10.4067/S0719-06462021000100001

DOI:

https://doi.org/10.4067/S0719-06462021000100001

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.

Keywords

Trigonometric class of distributions , Tangent function , Burr XII distribution , Maximum likelihood estimation , Entropy

Luciano Souza UFAPE, Federal University of Agreste of Pernambuco, Garanhuns / PE, Brazil.
Wilson Rosa de O. Júnior PPGBEA, Federal Rural University of Pernambuco, Recife / PE, Brazil.
Cícero Carlos R. de Brito Federal Institute of Pernambuco, Pernambuco / PE, Brazil.
Christophe Chesneau LMNO, University of Caen-Normandie, Caen, 14032, France.
Renan L. Fernandes Centro de Informática, Universidade Federal de Pernambuco, Recife/PE, Brazil.
Tiago A. E. Ferreira PPGBEA, Federal Rural University of Pernambuco, Recife / PE, Brazil.

Pages: 01–20
Date Published: 2021-04-13
Vol. 23 No. 1 (2021)

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