ion}\]</span> where <span class="math inline">\(d(\cdot,\cdot)\)</span> is some measure of distance between distributions (e.g., Wasserstein distance or total variation distance).</p>
<p>Suppose we adopt the description above as a working definition of statistical homogeneity. We shall explain why this definition is problematic.</p>
<div class="section level3">
<h3 id="a-single-population-doesnt-imply-statistical-homogeneity">A Single Population Doesn‚Äôt Imply ‚ÄúStatistical Homogeneity‚Äù<a cl