s="math inline">\(u \in \mathbb{R}^+\)</span> and <span class="math inline">\(v \in \mathbb{R}^+\)</span> by <span class="math display">\[ \mathrm{B}(u,v) =
\frac{\Gamma(u) \ \Gamma(v)}{\Gamma(u + v)}. \]</span></p>
</div>
<div id="sampling-statement-5" class="section level3">
<h3><span class="header-section-number">12.3.2</span> Sampling Statement</h3>
<p><code>n ~</code> <strong><code>beta_binomial</code></strong><code>(N, alpha, beta)</code></p>
<p>Increment target log probability density with <code>beta