Template:Normal conditional reliability function: Difference between revisions

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===The Normal Conditional Reliability Function===
#REDIRECT [[The_Normal_Distribution]]
 
The normal conditional reliability function is given by:
 
::<math>R(t|T)=\frac{R(T+t)}{R(T)}=\frac{\int_{T+t}^{\infty }\tfrac{1}{{{\sigma }_{T}}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{t-\mu }{{{\sigma }_{T}}} \right)}^{2}}}}dt}{\int_{T}^{\infty }\tfrac{1}{{{\sigma }_{T}}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{t-\mu }{{{\sigma }_{T}}} \right)}^{2}}}}dt}</math>
 
Once again, the use of standard normal tables for the calculation of the normal conditional reliability is necessary, as there is no closed form solution.

Latest revision as of 02:53, 13 August 2012

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