Template:Ald rf: Difference between revisions

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(Created page with '====Reliability Function==== For the lognormal distribution, the reliability for a mission of time <math>T</math> , starting at age 0, is given by: <br> ::<math>R(T)=\mathop{}_{…')
 
 
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====Reliability Function====
#REDIRECT [[Distributions_Used_in_Accelerated_Testing#The_Lognormal_Distribution]]
For the lognormal distribution, the reliability for a mission of time  <math>T</math> , starting at age 0, is given by:
<br>
::<math>R(T)=\mathop{}_{T}^{\infty }f(t)dt</math>
<br>
:or:
<br>
::<math>R(T)=\mathop{}_{{{T}^{^{\prime }}}}^{\infty }\frac{1}{{{\sigma }_{{{T}'}}}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{t-\overline{{{T}'}}}{{{\sigma }_{{{T}'}}}} \right)}^{2}}}}dt</math>
<br>
There is no closed form solution for the lognormal reliability function. Solutions can be obtained via the use of standard normal tables.
<br>
<br>

Latest revision as of 03:15, 16 August 2012

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