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.