RANDSNORM(𝛼,𝜉,𝜔)𝛼: shape parameter of the skew-normal distribution, defaults to 0
𝜉: location parameter of the skew-normal distribution, defaults to 0
𝜔: scale parameter of the skew-normal distribution, defaults to 1
The random variates are drawn from a skew-normal distribution with shape parameter 𝛼. When 𝛼=0, the skewness vanishes, and we obtain the standard normal density; as 𝛼 increases (in absolute value), the skewness of the distribution increases; when 𝛼 approaches infinity the density converges to the so-called half-normal (or folded normal) density function; if the sign of 𝛼 changes, the density is reflected on the opposite side of the vertical axis.
The mean of a skew-normal distribution with location parameter 𝜉=0 is not 0. The standard deviation of a skew-normal distribution with scale parameter 𝜔=1 is not 1. The skewness of a skew-normal distribution is in general not 𝛼. If 𝜔 < 0, RANDSNORM returns #NUM!