ul>
</li>
</ol>
<p>Each of these examples generates heterogeneous finite samples, and their finite samples are exchangeable by definition. However, hopefully most readers will agree that only the last two examples represent the existence of subpopulations for which the joint distribution of their features cannot be modeled in a straightforward manner. Indeed, even though the first example generates samples containing <span class="math inline">\(2^P\)</span> clusters, we are able to mathematically describe i