(d+1)}\prod_{j=1}^d \alpha_j
\prod_{j=1}^d \left(\frac{\alpha_jw_j}{\sum_{k=1}^d
\alpha_kw_k}\right)^{\alpha_j-1}
\end{align*}\]</span> for <span class="math inline">\(\alpha_j&gt;0.\)</span></p>
</div>
<div id="scaled-extremal-dirichlet" class="section level2">
<h2>Scaled extremal Dirichlet</h2>
<p>The angular density of the scaled extremal Dirichlet
(<code>sdir</code>) model with parameters <span class="math inline">\(\rho &gt; -\min(\boldsymbol{\alpha})\)</span> and
<span class="math inline">\(\boldsymbo