Beta distribution (Skewness, with terms of shape parameters)

Description

In probability theory and statistics, the beta distribution is a family of continuous probability distributions defined on the interval [0, 1] parametrized by two positive shape parameters, denoted by α and β, that appear as exponents of the random variable and control the shape of the distribution. Skewness is a measure of the asymmetry of the probability distribution of a real-valued random variable about its mean. The skewness of a random variable X (the third moment centered on the mean, normalized by the 3/2 power of the variance) of the beta distribution is depended on shape parameters α and β.

Related formulas

Variables

γSkewness (dimensionless)
βShape parameter (β>0) (dimensionless)
αShape parameter (α>0) (dimensionless)