Template:Gumbel reliability function

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The Gumbel Reliability Function

The reliability for a mission of time [math]\displaystyle{ T }[/math] for the Gumbel distribution is given by:

[math]\displaystyle{ R(T)={{e}^{-{{e}^{z}}}} }[/math]

The unreliability function is given by:

[math]\displaystyle{ F(T)=1-{{e}^{-{{e}^{z}}}} }[/math]