Template:Alta al mean: Difference between revisions

Latest revision as of 05:31, 16 August 2012

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-====The Mean====
+#REDIRECT [[Arrhenius_Relationship#Arrhenius-Lognormal_Statistical_Properties_Summary]]
-<br>
-•	The mean life of the Arrhenius-lognormal model (mean of the times-to-failure),  <math>\bar{T}</math> , is given by:
-<br>
-::<math>\begin{align}
-  & \bar{T}= & {{e}^{\bar{{T}'}+\tfrac{1}{2}\sigma _{{{T}'}}^{2}}} \\
- & = & {{e}^{\ln (C)+\tfrac{B}{V}+\tfrac{1}{2}\sigma _{{{T}'}}^{2}}}
-\end{align}</math>
-<br>
-•	The mean of the natural logarithms of the times-to-failure,  <math>{{\bar{T}}^{^{\prime }}}</math> , in terms of  <math>\bar{T}</math>  and  <math>{{\sigma }_{T}}</math>  is given by:
-<br>
-::<math>{{\bar{T}}^{\prime }}=\ln \left( {\bar{T}} \right)-\frac{1}{2}\ln \left( \frac{\sigma _{T}^{2}}{{{{\bar{T}}}^{2}}}+1 \right)</math>