3>
<p>If <span class="math inline">\(\nu \in \mathbb{R}^+\)</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">\[ \text{ScaledInvChiSquare}(y|\nu,\sigma) =
\frac{(\nu / 2)^{\nu/2}}      {\Gamma(\nu / 2)} \, \sigma^{\nu} \,
y^{-(\nu/2 + 1)} \, \exp \! \left( \!    - \, \frac{1}{2} \, \nu \,
\sigma^2 \, \frac{1}{y} \right) . \]</span></p>
</div>
<div id="sampling-statement-37" class="section leve