Template:Alta exponential reliable life: Difference between revisions
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::<math>{{t}_{R}}=-\frac{\ln [R({{t}_{R}})]}{\lambda }</math> | ::<math>{{t}_{R}}=-\frac{\ln [R({{t}_{R}})]}{\lambda }</math> | ||
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Revision as of 23:23, 27 February 2012
Reliable Life
The reliable life, or the mission duration for a desired reliability goal, [math]\displaystyle{ {{t}_{R}} }[/math] , for the 1-parameter exponential distribution is given by:
- [math]\displaystyle{ \begin{align} & R({{t}_{R}})= {{e}^{-\lambda {{t}_{R}}}} \\ & & \\ & \ln [R({{t}_{R}})]= -\lambda {{t}_{R}} \end{align} }[/math]
or:
- [math]\displaystyle{ {{t}_{R}}=-\frac{\ln [R({{t}_{R}})]}{\lambda } }[/math]