Template:Eyring-ex cb on time

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Confidence Bounds on Time


The bounds on time (ML estimate of time) for a given reliability are estimated by first solving the reliability function with respect to time:


[math]\displaystyle{ \widehat{T}=-\widehat{m}\cdot \ln (R) }[/math]


The corresponding confidence bounds are estimated from:


[math]\displaystyle{ \begin{align} & {{T}_{U}}= & -{{m}_{U}}\cdot \ln (R) \\ & & \\ & {{T}_{L}}= & -{{m}_{L}}\cdot \ln (R) \end{align} }[/math]


where [math]\displaystyle{ {{m}_{U}} }[/math] and [math]\displaystyle{ {{m}_{L}} }[/math] are estimated using Eqns. (EyrxpMeanUpper) and (EyrxpMeanLower).