\)</span>, then for
<span class="math inline">\(y \in [0,\infty)\)</span>, <span class="math display">\[ \text{Weibull}(y|\alpha,\sigma) =
\frac{\alpha}{\sigma} \, \left( \frac{y}{\sigma} \right)^{\alpha - 1}
\, \exp \! \left( \! - \left( \frac{y}{\sigma} \right)^{\alpha}
\right) . \]</span></p>
<p>Note that if <span class="math inline">\(Y \propto \text{Weibull}(\alpha,\sigma)\)</span>, then <span class="math inline">\(Y^{-1} \propto \text{Frechet}(\alpha,\sigma^{-1})\)</span>.</p>
</div>
<div id="sampling