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>.^[Imposing a constraint such as <span class="math inline">\(\theta &lt; 0.5\)</span> will resolve the symmetry, but fundamentally changes the model and its posterior inferences.]</p>
</div>
<div id="inference-under-label-switching" class="section level3 unnumbered">
<h3>Inference under L