# 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

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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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