Template:Loglogistic standard deviation: Difference between revisions
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==The Standard Deviation== | |||
The standard deviation of the loglogistic distribution, <math>{{\sigma }_{T}}</math> , is given by: | The standard deviation of the loglogistic distribution, <math>{{\sigma }_{T}}</math> , is given by: | ||
Revision as of 17:49, 20 February 2012
The Standard Deviation
The standard deviation of the loglogistic distribution, [math]\displaystyle{ {{\sigma }_{T}} }[/math] , is given by:
- [math]\displaystyle{ {{\sigma }_{T}}={{e}^{\mu }}\sqrt{\Gamma (1+2\sigma )\Gamma (1-2\sigma )-{{(\Gamma (1+\sigma )\Gamma (1-\sigma ))}^{2}}} }[/math]
Note that for [math]\displaystyle{ \sigma \ge 0.5, }[/math] the standard deviation does not exist.