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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Revision as of 16:06, 4 January 2012
Bounds on Reliability
The reliability of the two-parameter exponential distribution is:
- [math]\displaystyle{ \hat{R}(T;\hat{\lambda })={{e}^{-\hat{\lambda }(T-\hat{\gamma })}} }[/math]
The corresponding confidence bounds are estimated from:
- [math]\displaystyle{ \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]\displaystyle{ \gamma =0 }[/math].