Template:Gumbel mean median and mode: Difference between revisions
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Revision as of 22:45, 4 January 2012
The Gumbel Mean, Median and Mode
The Gumbel mean or MTTF is:
- [math]\displaystyle{ \overline{T}=\mu -\sigma \gamma }[/math]
where [math]\displaystyle{ \gamma \approx 0.5772 }[/math] (Euler's constant).
The mode of the Gumbel distribution is:
- [math]\displaystyle{ \tilde{T}=\mu }[/math]
The median of the Gumbel distribution is:
- [math]\displaystyle{ \widehat{T}=\mu +\sigma \ln (\ln (2)) }[/math]