ABSTRACT
The probability density function of a beta random variable with shape parameters a and b is given by
f(x|a, b) = 1 B(a, b)
xa−1(1− x)b−1, 0 < x < 1, a > 0, b > 0,
where the beta function B(a, b) = Γ(a)Γ(b)/Γ(a+ b). We denote the above beta distribution by beta(a, b). A situation where the beta distribution arises is given below.
