Template:Lognormal distribution conditional reliability: Difference between revisions

Latest revision as of 05:25, 13 August 2012

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-===The Lognormal Conditional Reliability===
+#REDIRECT [[Lognormal Distribution Functions]]
-The lognormal conditional reliability function is given by:
-::<math>R(t|T)=\frac{R(T+t)}{R(T)}=\frac{\int_{\text{ln}(T+t)}^{\infty }\tfrac{1}{{{\sigma }_{{{T}'}}}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{s-{\mu }'}{{{\sigma }_{{{T}'}}}} \right)}^{2}}}}ds}{\int_{\text{ln}(T)}^{\infty }\tfrac{1}{{{\sigma }_{{{T}'}}}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{s-{\mu }'}{{{\sigma }_{{{T}'}}}} \right)}^{2}}}}ds}</math>
-Once again, the use of standard normal tables is necessary to solve this equation, as no closed-form solution exists.