Beta distribution (mean)

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. Mean or , the expected value of a random variable is intuitively the long-run average value of repetitions of the experiment it represents. The expected value (mean) of a Beta distribution random variable X with two parameters α and β is a function of only the ratio β/α of these parameters.

Related formulas

Variables

μExpected value (mean) (dimensionless)
αShape parameter (α>0) (dimensionless)
βShape parameter (β>0) (dimensionless)