sted
in posterior predictions for new observations.</p>
<div id="mixtures-with-unidentifiable-components" class="section level3">
<h3 class="unnumbered" number="">Mixtures with Unidentifiable Components</h3>
<p>As an example, consider the normal mixture from the previous section,
which provides an exchangeable prior on the pairs of parameters
<span class="math inline">\((\mu_1, \sigma_1)\)</span> and <span class="math inline">\((\mu_2, \sigma_2)\)</span>,</p>
<p><span class="math display">\[
\begin{array}{r