+\)</span>, then for <span class="math inline">\(y \in \mathbb{R}\)</span>, <span class="math display">\[ \text{Cauchy}(y|\mu,\sigma) = \frac{1}{\pi \sigma} \
\frac{1}{1 + \left((y - \mu)/\sigma\right)^2} . \]</span></p>
</div>
<div id="sampling-statement-25" class="section level3">
<h3 number="15.6.2"><span class="header-section-number">15.6.2</span> Sampling Statement</h3>
<p><code>y ~</code> <strong><code>cauchy</code></strong><code>(mu, sigma)</code></p>
<p>Increment target log probability density with 