The Skew Normal Density Function

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The skew normal distribution is an extention of the normal distribution. The difference is the presence of skewness, determined by the parameter (for we have the normal distribution).

Contributed by: Murilo Coutinho (March 2011)
Open content licensed under CC BY-NC-SA



The skew normal density function is given by


where is the probability density function of the standard normal distribution and is its distribution function.

A. Azzalini, "A Class of Distributions Which Includes the Normal Ones," Scandinavian Journal of Statistics, 12(2), 1985 pp. 171–178.

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