New Insights on the Multivariate Skew Exponential Power Distribution
Arevalillo, Jorge M. y Navarro, Hilario . (2023) New Insights on the Multivariate Skew Exponential Power Distribution. Mathematica Slovaca, vol. 73, no. 2, 2023, pp. 529-544.
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The multivariate exponential power is a useful distribution for modeling departures from normality in data by means of a tail weight scalar parameter that regulates the non-normality of the model. The incorporation of a shape asymmetry vector into the model serves to account for potential asymmetries and gives rise to the multivariate skew exponential power distribution. This work is aimed at revisiting the skew exponential power distribution taking as a starting point its formulation as a scale mixture of skew-normal distributions. The paper provides some highlights and theoretical insights on the role played by its parameters to assess two complementary aspects of the multivariate non-normality such as directional asymmetry and tail weight behavior regardless of the asymmetry. The intuition behind both issues relies on well-known mathematical ideas about skewness maximization and convex transform stochastic orderings.
The registered version of this article, first published in Mathematica Slovaca, is available online at the publisher's website: De Gruyter, https://doi.org/10.1515/ms-2023-0039
Notas adicionales
La versión registrada de este artículo, publicado por primera vez en Mathematica Slovaca, está disponible en línea en el sitio web del editor: Springer, https://doi.org/10.1515/ms-2023-0039
