Parameters: Minimum value (Min), Maximum value (Max), Alpha (α), Beta (β)
for
and where Γ is the Gamma function.
Method 1: Gamma Density Combination
Comment: The Beta variate is obtained from:
where u = Gamma (α, 1) and v = Gamma (β, 1).
Method 2: Rational Fraction Approximation method with a Newton Polish step
Comment: This method is used instead of Method 1 when Latin Hypercube sampling is in effect.