Template:Lognormal distribution reliable life: Difference between revisions

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===The Lognormal Reliable Life===
#REDIRECT [[Lognormal Distribution Functions]]
As there is no closed-form solution for the lognormal reliability equation, no closed-form solution exists for the lognormal reliable life either.  In order to determine this value, one must solve the equation:
 
 
::<math>{{R}_{T}}=\int_{\text{ln}(T)}^{\infty }\frac{1}{{{\sigma }_{{{T}'}}}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{s-{\mu }'}{{{\sigma }_{{{T}'}}}} \right)}^{2}}}}ds</math>
 
for <math>T</math> .

Latest revision as of 05:28, 13 August 2012