Template:Weibull reliability function: Difference between revisions
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Revision as of 16:33, 4 January 2012
The Weibull Reliability Function
The equation for the three-parameter Weibull cumulative density function, cdf, is given by:
- [math]\displaystyle{ F(T)=1-e^{-\left( \frac{T-\gamma }{\eta }\right) ^{\beta }} }[/math].
This is also referred to as Unreliability and deignated as [math]\displaystyle{ Q(T) \,\! }[/math] by some authors.
Recalling that the reliability function of a distribution is simply one minus the cdf, the reliability function for the three-parameter Weibull distribution is then given by:
- [math]\displaystyle{ R(T)=e^{-\left( { \frac{T-\gamma }{\eta }}\right) ^{\beta }} }[/math]