Template:Weibull conditional reliability function: Difference between revisions

From ReliaWiki
Jump to navigation Jump to search
(Created page with '=== The Weibull Conditional Reliability Function === The three-parameter Weibull conditional reliability function is given by: ::<math> R(t|T)={ \frac{R(T+t)}{R(T)}}={\frac{e^…')
 
(Redirected page to Weibull Distribution Functions)
 
(2 intermediate revisions by 2 users not shown)
Line 1: Line 1:
=== The Weibull Conditional Reliability Function ===
#REDIRECT [[Weibull Distribution Functions]]
 
The three-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.

Latest revision as of 01:47, 13 August 2012