A note on the rescaling of the skew-normal distribution

• Venegas, Osvaldo ^[1] ; Elal-Olivero, David ^[2] ; Gómez, Héctor W. ^[3]
  1. [1] Universidad Católica de Temuco

     Universidad Católica de Temuco

     Temuco, Chile

     
  2. [2] Universidad de Atacama

     Universidad de Atacama

     Copiapo, Chile

     
  3. [3] Universidad de Antofagasta

     Universidad de Antofagasta

     Antofagasta, Chile

     

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• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 31, Nº. 3, 2012, págs. 197-207
• Idioma: inglés
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• Resumen

  • 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.