Template:Aw mean

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] .