Template:Aw mean: Difference between revisions

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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 <span class="texhtml">''pdf''</span> 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 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] .