Template:Acb on reliability: Difference between revisions

Latest revision as of 05:49, 16 August 2012

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-====Confidence Bounds on Reliability====
+#REDIRECT [[Arrhenius_Relationship#Approximate_Confidence_Bounds_for_the_Arrhenius-Exponential]]
-<br>
-The bounds on reliability for any given time,  <math>T</math> , are estimated by:
-<br>
-::<math>\begin{align}
-  & {{R}_{U}}(T)= & {{e}^{-\tfrac{T}{{{m}_{U}}}}} \\
- & {{R}_{L}}(T)= & {{e}^{-\tfrac{T}{{{m}_{L}}}}}
-\end{align}</math>
-<br>
-where  <math>{{m}_{U}}</math>  and  <math>{{m}_{L}}</math>  are estimated estimated by:
-<br>
-::<math>\begin{align}
- & {{m}_{U}}= \widehat{m}\cdot {{e}^{\tfrac{{{K}_{\alpha }}\sqrt{Var(\widehat{m})}}{\widehat{m}}}} \\
- & {{m}_{L}}= \widehat{m}\cdot {{e}^{-\tfrac{{{K}_{\alpha }}\sqrt{Var(\widehat{m})}}{\widehat{m}}}}
-\end{align}</math>
-<br>