Template:Weibull conditional reliability function: Difference between revisions

Latest revision as of 01:47, 13 August 2012

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-=== The Weibull Conditional Reliability Function ===
+#REDIRECT [[Weibull Distribution Functions]]
-The 3-parameter Weibull conditional reliability function is given by:
-::<math> R(t|T)={ \frac{R(T+t)}{R(T)}}={\frac{e^{-\left( {\frac{T+t-\gamma }{\eta }}\right) ^{\beta }}}{e^{-\left( {\frac{T-\gamma }{\eta }}\right) ^{\beta }}}} </math>
-or:
-::<math> R(t|T)=e^{-\left[ \left( {\frac{T+t-\gamma }{\eta }}\right) ^{\beta }-\left( {\frac{T-\gamma }{\eta }}\right) ^{\beta }\right] } </math>
-These gives the reliability for a new mission of <math> t \,\!</math> duration, having already accumulated  <math> T \,\!</math> time of operation up to the start of this new mission, and the units are checked out to assure that they will start the next mission successfully. It is called conditional because you can calculate the reliability of a new mission based on the fact that the unit or units already accumulated  hours of operation successfully.