Template:Gamma mean median and mode

The Gamma Mean, Median and Mode
The gamma mean or MTTF is:


 * $$\overline{T}=k{{e}^{\mu }}$$

The mode exists if $$k>1$$  and is given by:


 * $$\tilde{T}=(k-1){{e}^{\mu }}$$

The median is:


 * $$\widehat{T}={{e}^{\mu +\ln (\Gamma _{1}^{-1}(0.5;k))}}$$