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:


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