Template:Normal probability density function: Difference between revisions

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(Created page with '==Normal Probability Density Function== The <math>pdf</math> of the normal distribution is given by: ::<math>f(T)=\frac{1}{{{\sigma }_{T}}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\…')
 
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==Normal Probability Density Function==
#REDIRECT [[The_Normal_Distribution]]
 
The  <math>pdf</math>  of the normal distribution is given by:
 
::<math>f(T)=\frac{1}{{{\sigma }_{T}}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{T-\mu }{{{\sigma }_{T}}} \right)}^{2}}}}</math>
 
:where:
 
<math>\mu= \text{mean of the normal times-to-faiure, also noted as}  \bar T </math>
 
<math>\theta=\text{standard deviation of the times-to-failure} </math>
 
 
It is a two-parameter distribution with parameters  <math>\mu </math>  (or  <math>\bar{T}</math> ) and  <math>{{\sigma }_{T}}</math> , i.e. the mean and the standard deviation, respectively.

Latest revision as of 02:46, 13 August 2012

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