Template:Weibull Statistical Properties: Difference between revisions

Latest revision as of 07:52, 10 August 2012

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-== Weibull Statistical Properties ==
+#REDIRECT [[Weibull Distribution Functions]]
-{{weibull mean}}
-{{weibull median}}
-{{weibull mode}}
-{{weibull standard deviation}}
-{{weibull reliability function}}
-{{weibull conditional reliability function}}
-=== The Weibull Reliable Life ===
-The reliable life, <math> T_{R} \,\!</math>, of a unit for a specified reliability,<math> R \,\!</math>, starting the mission at age zero, is given by:
-::<math> T_{R}=\gamma +\eta \cdot \left\{ -\ln ( R ) \right\} ^{ \frac{1}{\beta }} </math>
-This is the life for which the unit/item will be functioning successfully with a reliability of <math> R \,\!</math>, . If ,<math> R=0.50 \,\!</math>,  then <math> T_{R}=\breve{T} </math>, the median life, or the life by which half of the units will survive.
-=== The Weibull Failure Rate Function ===
-The Weibull failure rate function, <math> \lambda(t) \,\!</math>, is given by:
-::<math> \lambda \left( T\right) = \frac{f\left( T\right) }{R\left( T\right) }=\frac{\beta }{\eta }\left( \frac{ T-\gamma }{\eta }\right) ^{\beta -1} </math>