Template:Aw mean: Difference between revisions
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====The Mean or MTTF==== | ==== The Mean or MTTF ==== | ||
The | |||
The mean, <math>\overline{T}</math>,of the 2-parameter Weibull <span class="texhtml">''pdf''</span> is given by: | |||
<br> | |||
::<math>\overline{T}=\eta \cdot \Gamma \left( \frac{1}{\beta }+1 \right)</math> | ::<math>\overline{T}=\eta \cdot \Gamma \left( \frac{1}{\beta }+1 \right)</math> | ||
<br> | <br> where <math>\Gamma \left( \tfrac{1}{\beta }+1 \right)</math> is the gamma function evaluated at the value of <math>\left( \tfrac{1}{\beta }+1 \right)</math> . | ||
where | |||
<br> | <br> | ||
Revision as of 23:17, 6 March 2012
The Mean or MTTF
The mean, [math]\displaystyle{ \overline{T} }[/math],of the 2-parameter Weibull pdf is given by:
- [math]\displaystyle{ \overline{T}=\eta \cdot \Gamma \left( \frac{1}{\beta }+1 \right) }[/math]
where [math]\displaystyle{ \Gamma \left( \tfrac{1}{\beta }+1 \right) }[/math] is the gamma function evaluated at the value of [math]\displaystyle{ \left( \tfrac{1}{\beta }+1 \right) }[/math] .