math inline">\(y \in \mathbb{R}^+\)</span>, <span class="math display">\[\begin{equation*}
\text{Log-Logistic}(y|\alpha,\beta) =
\frac{\ \left(\frac{\beta}{\alpha}\right) \left(\frac{y}{\alpha}\right)^{\beta-1}\ }{\left(1 + \left(\frac{y}{\alpha}\right)^\beta\right)^2} .
\end{equation*}\]</span></p>
</section>
<section id="sampling-statement-10" class="level3">
<h3 class="anchored" data-anchor-id="sampling-statement-10">Sampling statement</h3>
<p><code>y ~</code> <strong><code>loglogistic</code></strong><co