Template:Bounds on Time FMB ED: Difference between revisions

Latest revision as of 06:52, 10 August 2012

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-====Bounds on Time====
+#REDIRECT [[The Exponential Distribution]]
-The bounds around time for a given exponential percentile, or reliability value, are estimated by first solving the reliability equation with respect to time, or reliable life:
-::<math>\hat{t}=-\frac{1}{{\hat{\lambda }}}\cdot \ln (R)+\hat{\gamma }</math>
-The corresponding confidence bounds are estimated from:
-::<math>\begin{align}
-  & {{t}_{U}}= & -\frac{1}{{{\lambda }_{L}}}\cdot \ln (R)+\hat{\gamma } \\
- & {{t}_{L}}= & -\frac{1}{{{\lambda }_{U}}}\cdot \ln (R)+\hat{\gamma }
-\end{align}</math>
-The same equations apply for the one-parameter exponential with <math>\gamma =0.</math>