Template:Acb on time: Difference between revisions

Latest revision as of 05:50, 16 August 2012

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-====Confidence Bounds on Time====
+#REDIRECT [[Arrhenius_Relationship#Approximate_Confidence_Bounds_for_the_Arrhenius-Exponential]]
-<br>
-The bounds on time (ML estimate of time) for a given reliability are estimated by first solving the reliability function with respect to time:
-<br>
-::<math>\widehat{T}=-\widehat{m}\cdot \ln (R)</math>
-<br>
-The corresponding confidence bounds are then estimated from:
-<br>
-::<math>\begin{align}
-  & {{T}_{U}}= -{{m}_{U}}\cdot \ln (R) \\
- & {{T}_{L}}= -{{m}_{L}}\cdot \ln (R)
-\end{align}</math>
-where  <math>{{m}_{U}}</math>  and  <math>{{m}_{L}}</math>  are estimated using Eqns. (ArrhuUpper) and (ArrhuLower).