Template:Loglogistic reliability function

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]