Template:Exponential Reliable Life: Difference between revisions
Jump to navigation
Jump to search
(Created page with '===The Exponential Reliable Life=== The reliable life, or the mission duration for a desired reliability goal, <math>{{t}_{R}}</math>, for the one-parameter exponential distribu…') |
|||
| Line 7: | Line 7: | ||
::<math>\ln [R({{t}_{R}})]=-\lambda ({{t}_{R}}-\gamma )</math> | ::<math>\ln [R({{t}_{R}})]=-\lambda ({{t}_{R}}-\gamma )</math> | ||
or: | |||
::<math>{{t}_{R}}=\gamma -\frac{\ln [R({{t}_{R}})]}{\lambda }</math> | ::<math>{{t}_{R}}=\gamma -\frac{\ln [R({{t}_{R}})]}{\lambda }</math> | ||
Revision as of 23:13, 6 February 2012
The Exponential Reliable Life
The reliable life, or the mission duration for a desired reliability goal, [math]\displaystyle{ {{t}_{R}} }[/math], for the one-parameter exponential distribution is:
- [math]\displaystyle{ R({{t}_{R}})={{e}^{-\lambda ({{t}_{R}}-\gamma )}} }[/math]
- [math]\displaystyle{ \ln [R({{t}_{R}})]=-\lambda ({{t}_{R}}-\gamma ) }[/math]
or:
- [math]\displaystyle{ {{t}_{R}}=\gamma -\frac{\ln [R({{t}_{R}})]}{\lambda } }[/math]