Template:Lognormal distribution failure rate function: Difference between revisions

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(Created page with '===The Lognormal Failure Rate Function=== The lognormal failure rate is given by: ::<math>\lambda (T)=\frac{f(T)}{R(T)}=\frac{\tfrac{1}{T\cdot {{\sigma }_{{{T}'}}}\sqrt{2\pi }}…')
 
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===The Lognormal Failure Rate Function===
#REDIRECT [[Lognormal Distribution Functions]]
The lognormal failure rate is given by:
 
 
::<math>\lambda (T)=\frac{f(T)}{R(T)}=\frac{\tfrac{1}{T\cdot {{\sigma }_{{{T}'}}}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{(\tfrac{{T}'-{\mu }'}{{{\sigma }_{{{T}'}}}})}^{2}}}}}{\int_{{{T}'}}^{\infty }\tfrac{1}{{{\sigma }_{{{T}'}}}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{(\tfrac{t-{\mu }'}{{{\sigma }_{{{T}'}}}})}^{2}}}}dt}</math>
 
As with the reliability equations, standard normal tables will be required to solve for this function.

Latest revision as of 05:30, 13 August 2012

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