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