Template:Loglogistic mean median and mode: Difference between revisions

Latest revision as of 09:59, 9 August 2012

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-==Mean, Median and Mode==
+#REDIRECT [[The_Loglogistic_Distribution]]
-The mean of the loglogistic distribution,  <math>\overline{T}</math> , is given by:
-::<math>\overline{T}={{e}^{\mu }}\Gamma (1+\sigma )\Gamma (1-\sigma )</math>
-Note that for  <math>\sigma \ge 1,</math>   <math>\overline{T}</math>  does not exist.
-The median of the loglogistic distribution,  <math>\breve{T}</math> , is given by:
-::<math>\widehat{T}={{e}^{\mu }}</math>
-The mode of the loglogistic distribution,  <math>\tilde{T}</math> , if  <math>\sigma <1,</math>  is given by:
-::<math>\tilde{T} = e^{\mu+\sigma ln(\frac{1-\sigma}{1+\sigma})}</math>