(1.17) Weibull

Q2) How can we model the time until the first failure of a process or system? §

Weibull

The Weibull distribution is often used in reliability analysis and life data analysis. Its parameters are:

• Shape parameter $k$
• Scale parameter $\lambda$
• Expected value (mean) = $\lambda \Gamma \left(1+\frac{1}{k}\right)$
• Variance = ${\lambda }^2\left[\Gamma \left(1+\frac{2}{k}\right)-{\left(\Gamma \left(1+\frac{1}{k}\right)\right)}^2\right]$