varying-scales" class="section level3">
<h3 class="unnumbered" number="">Mixture Models with Varying Scales</h3>
<p>One such example is a binary mixture model with scales varying by
component, <span class="math inline">\(\sigma_1\)</span> and <span class="math inline">\(\sigma_2\)</span> for locations <span class="math inline">\(\mu_1\)</span> and
<span class="math inline">\(\mu_2\)</span>. In this situation, the density grows without bound as
<span class="math inline">\(\sigma_1 \rightarrow 0\)</span> and 