Contents
- Index
Beta Distribution
Shape:
The beta distribution covers a range of kurtosis values for any specified average, standard deviation and skewness. It is a 4-parameter distribution that is represented by a region between the gamma curve and the impossible region on a skewness-kurtosis plot as shown below.

Density Function:
The density function of the beta distribution is shown below:

The equation, parameters and bounds of the density function are:

Moments:
The moments of the beta distribution can be calculated from the parameters as shown below:

Properties:
The uniform distribution is a special case.