probability-density-function-8" class="level3">
<h3 class="anchored" data-anchor-id="probability-density-function-8">Probability density function</h3>
<p>If <span class="math inline">\(\alpha \in \mathbb{R}^+\)</span> and <span class="math inline">\(\sigma \in \mathbb{R}^+\)</span>, then for <span class="math inline">\(y \in \mathbb{R}^+\)</span>, <span class="math display">\[\begin{equation*} \text{Frechet}(y|\alpha,\sigma) =
\frac{\alpha}{\sigma} \, \left( \frac{y}{\sigma} \right)^{-\alpha - 1}
\, \exp \!