Template:Bounds on Reliability FMB ED: Difference between revisions

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(Created page with '====Bounds on Reliability==== The reliability of the two-parameter exponential distribution is: ::<math>\hat{R}(T;\hat{\lambda })={{e}^{-\hat{\lambda }(T-\hat{\gamma })}}</mat…')
 
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====Bounds on Reliability====
#REDIRECT [[The Exponential Distribution]]
 
The reliability of the two-parameter exponential distribution is:
 
 
::<math>\hat{R}(T;\hat{\lambda })={{e}^{-\hat{\lambda }(T-\hat{\gamma })}}</math>
 
 
The corresponding confidence bounds are estimated from:
 
 
::<math>\begin{align}
  & {{R}_{L}}= & {{e}^{-{{\lambda }_{U}}(T-\hat{\gamma })}} \\
& {{R}_{U}}= & {{e}^{-{{\lambda }_{L}}(T-\hat{\gamma })}} 
\end{align}</math>
 
These equations hold true for the one-parameter exponential distribution, with <math>\gamma =0</math>.

Latest revision as of 06:52, 10 August 2012