Template:Logistic reliability function
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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]