Template:Loglogistic reliability function: Difference between revisions
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(Created page with '====The Loglogistic Reliability Function==== The reliability for a mission of time <math>T</math> , starting at age 0, for the loglogistic distribution is determined by: ::<mat…') |
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::<math>R=\frac{1}{1+{{e}^{z}}}</math> | ::<math>R=\frac{1}{1+{{e}^{z}}}</math> | ||
where: | |||
::<math>z=\frac{{ | ::<math>z=\frac{{t}'-\mu }{\sigma }</math> | ||
::<math>{ | ::<math>{t}'=\ln (t)</math> | ||
The unreliability function is: | The unreliability function is: | ||
::<math>F=\frac{{{e}^{z}}}{1+{{e}^{z}}}</math> | ::<math>F=\frac{{{e}^{z}}}{1+{{e}^{z}}}</math> | ||
Revision as of 01:48, 15 February 2012
The Loglogistic Reliability Function
The reliability for a mission of time [math]\displaystyle{ T }[/math] , starting at age 0, for the loglogistic distribution is determined by:
- [math]\displaystyle{ R=\frac{1}{1+{{e}^{z}}} }[/math]
where:
- [math]\displaystyle{ z=\frac{{t}'-\mu }{\sigma } }[/math]
- [math]\displaystyle{ {t}'=\ln (t) }[/math]
The unreliability function is:
- [math]\displaystyle{ F=\frac{{{e}^{z}}}{1+{{e}^{z}}} }[/math]