Template:Aw cdf and rf: Difference between revisions
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====The | ==== The <span class="texhtml">''cdf''</span> and the Reliability Function ==== | ||
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]