Template:Weibull reliable life

The Weibull Reliable Life

The reliable life, [math]\displaystyle{ T_{R} \,\! }[/math], of a unit for a specified reliability,[math]\displaystyle{ R \,\! }[/math], starting the mission at age zero, is given by:

[math]\displaystyle{ T_{R}=\gamma +\eta \cdot \left\{ -\ln ( R ) \right\} ^{ \frac{1}{\beta }} }[/math]

This is the life for which the unit/item will be functioning successfully with a reliability of [math]\displaystyle{ R \,\! }[/math]. If R=0.50, then [math]\displaystyle{ T_{R}=\breve{T} }[/math], the median life, or the life by which half of the units will survive.