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Tan-G class of trigonometric distributions and its applications. (English) Zbl 1481.60030

Summary: 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.

MSC:

60E05 Probability distributions: general theory
62E15 Exact distribution theory in statistics
62F10 Point estimation

Software:

R; TanB
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Full Text: DOI

References:

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