Template:Loglogistic reliability function: Difference between revisions

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====The Loglogistic Reliability Function====
==The Loglogistic Reliability Function==
The reliability for a mission of time  <math>T</math> , starting at age 0, for the loglogistic distribution is determined by:
The reliability for a mission of time  <math>T</math> , starting at age 0, for the loglogistic distribution is determined by:



Revision as of 17:48, 20 February 2012

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]