Template:Weibull reliability function

From ReliaWiki
Revision as of 16:33, 4 January 2012 by Nicolette Young (talk | contribs) (Created page with '=== The Weibull Reliability Function === The equation for the three-parameter Weibull cumulative density function, ''cdf'', is given by: ::<math> F(T)=1-e^{-\left( \frac{T-\ga…')
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search

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]