Template:Logistic reliability function: Difference between revisions
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==The Logistic Reliability Function== | |||
The reliability for a mission of time <math>T</math> , starting at age 0, for the logistic distribution is determined by: | The reliability for a mission of time <math>T</math> , starting at age 0, for the logistic distribution is determined by: | ||
Revision as of 22:41, 14 February 2012
The Logistic Reliability Function
The reliability for a mission of time [math]\displaystyle{ T }[/math] , starting at age 0, for the logistic distribution is determined by:
- [math]\displaystyle{ R(T)=\int_{T}^{\infty }f(t)dt }[/math]
- or:
- [math]\displaystyle{ R(T)=\frac{1}{1+{{e}^{z}}} }[/math]
The unreliability function is:
- [math]\displaystyle{ F=\frac{{{e}^{z}}}{1+{{e}^{z}}} }[/math]
- where:
- [math]\displaystyle{ z=\frac{T-\mu }{\sigma } }[/math]