Template:Lognormal distribution mean: Difference between revisions

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(Created page with '===The Mean or MTTF=== The mean of the lognormal distribution, <math>\mu </math> , is given by [18]: ::<math>\mu ={{e}^{{\mu }'+\tfrac{1}{2}\sigma _{{{T}'}}^{2}}}</math> The…')
 
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===The Mean or MTTF===
#REDIRECT [[Lognormal Distribution Functions]]
The mean of the lognormal distribution,  <math>\mu </math> , is given by [18]:
 
::<math>\mu ={{e}^{{\mu }'+\tfrac{1}{2}\sigma _{{{T}'}}^{2}}}</math>
 
 
The mean of the natural logarithms of the times-to-failure, <math>\mu'</math> , in terms of  <math>\bar{T}</math>  and  <math>{{\sigma }_{T}}</math>  is givgen by:
 
::<math>{\mu }'=\ln \left( {\bar{T}} \right)-\frac{1}{2}\ln \left( \frac{\sigma _{T}^{2}}{{{{\bar{T}}}^{2}}}+1 \right)</math>

Latest revision as of 05:07, 13 August 2012

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