Template:Gumbel reliability function: Difference between revisions

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==The Gumbel Reliability Function==
==The Gumbel Reliability Function==
The reliability for a mission of time  <math>T</math>  for the Gumbel distribution is given by:  
The reliability for a mission of time  <math>t</math>  for the Gumbel distribution is given by:  


::<math>R(T)={{e}^{-{{e}^{z}}}}</math>
::<math>R(t)={{e}^{-{{e}^{z}}}}</math>


The unreliability function is given by:  
The unreliability function is given by:  


::<math>F(T)=1-{{e}^{-{{e}^{z}}}}</math>
::<math>F(t)=1-{{e}^{-{{e}^{z}}}}</math>

Revision as of 18:31, 20 February 2012

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]