Mean and Variance of the Beta Distribution

Formula: \(\mu = \frac{\alpha}{\alpha + \beta}\) \(\mathrm{Var}(X) = \frac{\alpha \cdot \beta}{(\alpha + \beta)^2 (\alpha + \beta + 1)}\)

mbeta(shape1, shape2)

Arguments

shape1

Alpha parameter

shape2

Beta parameter

Value

List with mean and variance

See also

dbeta

Examples

mbeta(shape1 = 2, shape2 = 3)
#> $mean
#> [1] 0.4
#> 
#> $variance
#> [1] 0.04
#>