Template:Logistic reliability function

The Logistic Reliability Function
The reliability for a mission of time $$t$$, starting at age 0, for the logistic distribution is determined by:


 * $$R(t)=\int_{t}^{\infty }f(t)dt$$

or:


 * $$R(t)=\frac{1}{1+{{e}^{z}}}$$

The unreliability function is:


 * $$F=\frac{1+{{e}^{z}}}$$

where:


 * $$z=\frac{t-\mu }{\sigma }$$