Template:Aw cdf and rf: Difference between revisions

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====The <math>cdf</math> and the Reliability Function====
==== The <span class="texhtml">''cdf''</span> and the Reliability Function ====
The  <math>cdf</math>  of the 2-parameter Weibull distribution is given by:


The <span class="texhtml">''cdf''</span> of the 2-parameter Weibull distribution is given by:<br>


::<math>F(T)=1-{{e}^{-{{\left( \tfrac{T}{\eta } \right)}^{\beta }}}}</math>
::<math>F(T)=1-{{e}^{-{{\left( \tfrac{T}{\eta } \right)}^{\beta }}}}</math>


 
<br> The Weibull reliability function is given by:<br>
The Weibull reliability function is given by:  
 


::<math>\begin{align}
::<math>\begin{align}

Revision as of 23:19, 6 March 2012

The cdf and the Reliability Function

The cdf of the 2-parameter Weibull distribution is given by:

[math]\displaystyle{ F(T)=1-{{e}^{-{{\left( \tfrac{T}{\eta } \right)}^{\beta }}}} }[/math]


The Weibull reliability function is given by:

[math]\displaystyle{ \begin{align} R(T)&= & 1-F(t) = \ {{e}^{-{{\left( \tfrac{T}{\eta } \right)}^{\beta }}}} \end{align} }[/math]