$$ f(x;\alpha,\beta) = \mathrm{constant}\cdot x^{\alpha-1}(1-x)^{\beta-1} = \frac{\Gamma(\alpha+\beta)}{\Gamma(\alpha)\Gamma(\beta)}\, x^{\alpha-1}(1-x)^{\beta-1} = \frac{1}{\mathrm{B}(\alpha,\beta)}\, x^{\alpha-1}(1-x)^{\beta-1}, \quad s.t. \quad 0 \leq x \leq 1, \quad \alpha > 0, \beta > 0 $$ # Distributions |