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2012•Proyecciones (Antofagasta)Open access

A note on rescalings of the skew-normal distribution

Osvaldo Venegas, David Elal-Olivero, Héctor W. Gómez

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Abstract

In this article, we show that certain skew-normal parametric statistical models are a result of rescalings of the skew normal model studied by Azzalini (1985). Using this procedure we define a class of skew-normal distributions and we study its moment, skewness and kurtosis coefficients. At the end of this article we will use this classof distribution to make some extensions of the skew-normal model.

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In this article, we show that certain skew-normal parametric statistical models are a result of rescalings of the skew normal model studied by Azzalini (1985). Using this procedure we define a class of skew-normal distributions and we study its moment, skewness and kurtosis coefficients. At the end of this article we will use this classof distribution to make some extensions of the skew-normal model.

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Available abstract

In this article, we show that certain skew-normal parametric statistical models are a result of rescalings of the skew normal model studied by Azzalini (1985). Using this procedure we define a class of skew-normal distributions and we study its moment, skewness and kurtosis coefficients. At the end of this article we will use this classof distribution to make some extensions of the skew-normal model.

Key concepts: Kurtosis, Skew, Skewness, Skew normal distribution, Mathematics, Distribution (mathematics), Parametric statistics, Moment (physics)

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