Template:Weibull reliability function: Difference between revisions

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=== The Weibull Reliability Function ===
#REDIRECT [[Weibull Distribution Functions]]
 
The equation for the three-parameter Weibull cumulative density function, ''cdf'', is given by:
 
::<math> F(t)=1-e^{-\left( \frac{t-\gamma }{\eta }\right) ^{\beta }} </math>.
 
This is also referred to as ''Unreliability'' and deignated as <math> 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> R(t)=e^{-\left( { \frac{t-\gamma }{\eta }}\right) ^{\beta }} </math>

Latest revision as of 01:45, 13 August 2012