Template:Generalized gamma reliable life: Difference between revisions

Latest revision as of 09:37, 9 August 2012

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-===Generalized Gamma Reliable Life===
+#REDIRECT [[The_Generalized_Gamma_Distribution]]
-The reliable life,  <math>{{T}_{R}}</math> , of a unit for a specified reliability, starting the mission at age zero, is given by:
-::<math>{{T}_{R}}=\left\{ \begin{array}{*{35}{l}}
-   {{e}^{\mu +\tfrac{\sigma }{\lambda }\ln \left[ {{\lambda }^{2}}\Gamma _{I}^{-1}\left( 1-R,\tfrac{1}{{{\lambda }^{2}}} \right) \right]}}\text{  if }\lambda >0  \\
-   {{\Phi }^{-1}}(1-R)\text{                  if }\lambda =0  \\
-   {{e}^{\mu +\tfrac{\sigma }{\lambda }\ln \left[ {{\lambda }^{2}}\Gamma _{I}^{-1}\left( R,\tfrac{1}{{{\lambda }^{2}}} \right) \right]}}\text{     if }\lambda <0  \\
-\end{array} \right.</math>