Template:Aw mean: Difference between revisions
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(Created page with '====The Mean or MTTF==== The mean, <math>\overline{T},</math> of the 2-parameter Weibull <math>pdf</math> is given by: <br> ::<math>\overline{T}=\eta \cdot \Gamma \left( \f…') |
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====The Mean or MTTF==== | ====The Mean or MTTF==== | ||
The mean, <math>\overline{T},</math> of the 2-parameter Weibull <math>pdf</math> is given by: | The mean, <math>\overline{T},</math> of the 2-parameter Weibull <math>pdf</math> is given by: | ||
<br> | <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 <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> . | ||
<br> | <br> | ||
Revision as of 22:32, 27 February 2012
The Mean or MTTF
The mean, [math]\displaystyle{ \overline{T}, }[/math] of the 2-parameter Weibull [math]\displaystyle{ pdf }[/math] 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] .