An extension of the skew-generalized normal distribution and its derivation

Osvaldo Venegas, Antonio I. Sanhueza, Héctor W. Gómez


In this paper, we introduce a new class of skew-symmetric distributions which are formulated based on cumulative distributions of skew-symmetric densities. This new class is an extension of other skew-symmetric distributions that have already been studied. We give special attention to a family from this class that could be seen as an extension ofthe skew-generalized-normal model introduced by Arellano-Valle et al.(2004). We study the main properties, stochastic representation, moments and an extension of this new model.

Palabras clave

Asymmetry ; Skew-Generalized Normal Distribution ; Skew-Normal Distribution.

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