an></p>
<p>the joint distribution <span class="math inline">\(p(y, \mu, \sigma, \lambda)\)</span> is exchangeable
in the parameters <span class="math inline">\((\mu_1, \sigma_1)\)</span> and <span class="math inline">\((\mu_2, \sigma_2)\)</span> with
<span class="math inline">\(\lambda\)</span> flipping to <span class="math inline">\(1 - \lambda\)</span>.<a href="#fn12" class="footnote-ref" id="fnref12"><sup>12</sup></a></p>
</div>
<div id="inference-under-label-switching" class="section level3">
<h3 class=