Template:Ald mean: Difference between revisions

Latest revision as of 03:10, 16 August 2012

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-====The Mean or MTTF====
+#REDIRECT [[Distributions_Used_in_Accelerated_Testing#The_Lognormal_Distribution]]
-:•	The mean of the lognormal distribution,  <math>\bar{T}</math> , is given by:
-::<math>\bar{T}={{e}^{\bar{{T}'}+\tfrac{1}{2}\sigma _{{{T}'}}^{2}}}</math>
-:•	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:
-::<math>{{\bar{T}}^{\prime }}=\ln \left( {\bar{T}} \right)-\frac{1}{2}\ln \left( \frac{\sigma _{T}^{2}}{{{{\bar{T}}}^{2}}}+1 \right)</math>