Template:Loglogistic reliability function: Difference between revisions
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==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: | The reliability for a mission of time <math>T</math> , starting at age 0, for the loglogistic distribution is determined by: | ||
Revision as of 17:48, 20 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]