Beta Statistical Distribution
The Beta distribution is a very versatile function which can be used to model several different shapes of probability density curves, as shown below.
![Beta Density Functions](/assets/help/unwedge/images/image/figures/new/fig_beta_dist.gif)
The form of the Beta distribution is determined by the shape parameter a1 and a2. Both a1 and a2 are always > 0. The relationship between the Beta distribution shape parameters and the UnWedge input data is as follows:
The standard deviation is the positive square root of the variance.
Note that the above equations apply to a beta random variable on [0,1]. To re-scale and relocate to obtain a beta random variable on [a,b] of the same shape, use the transformation a + (b–a)X