Template:Acb on time: Difference between revisions

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(Created page with '===Confidence Bounds on Time=== <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…')
 
 
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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).

Latest revision as of 05:50, 16 August 2012

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