Weibull Distribution

Definition

$X\sim \mathrm{Weibull}(\lambda ,k)$ where $\lambda \in {\mathbb{R}}^{+}$ is the Scale Parameter and $k\in {\mathbb{R}}^{+}$ is the shape parameter.

Properties

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$f(x)=\frac{k}{\lambda }{\left(\frac{x}{\lambda }\right)}^{k-1}\exp [-(\frac{x}{\lambda }{)}^k],x\in {\mathbb{R}}_0^{+}$