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Open AccessArticle

The Asymmetric Alpha-Power Skew-t Distribution

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Departamento de Matemáticas y Estadística, Facultad de Ciencias Básicas, Universidad de Córdoba, Montería 230027, Colombia
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Departamento de Estatística, IME, Universidade de São Paulo, São Paulo 1010, Brazil
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(1), 82; https://doi.org/10.3390/sym12010082
Received: 13 November 2019 / Revised: 24 December 2019 / Accepted: 25 December 2019 / Published: 2 January 2020
(This article belongs to the Special Issue Symmetry in Applied Mathematics)
In this paper, we propose a new asymmetric and heavy-tail model that generalizes both the skew-t and power-t models. Properties of the model are studied in detail. The score functions and the elements of the observed information matrix are given. The process to estimate the parameters in model is discussed by using the maximum likelihood approach. Also, the observed information matrix is shown to be non-singular at the whole parametric space. Two applications to real data sets are reported to demonstrate the usefulness of this new model. View Full-Text
Keywords: alpha-power skew-t distribution; skew-t distribution; power-t distribution; asymmetry; Fisher information matrix; maximum likelihood estimation alpha-power skew-t distribution; skew-t distribution; power-t distribution; asymmetry; Fisher information matrix; maximum likelihood estimation
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Tovar-Falón, R.; Bolfarine, H.; Martínez-Flórez, G. The Asymmetric Alpha-Power Skew-t Distribution. Symmetry 2020, 12, 82.

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