Template:Loglogistic standard deviation

The Standard Deviation
The standard deviation of the loglogistic distribution, $${{\sigma }_{T}}$$, is given by:


 * $${{\sigma }_{T}}={{e}^{\mu }}\sqrt{\Gamma (1+2\sigma )\Gamma (1-2\sigma )-{{(\Gamma (1+\sigma )\Gamma (1-\sigma ))}^{2}}}$$

Note that for $$\sigma \ge 0.5,$$  the standard deviation does not exist.