1 = 1/K\)</span>; if <span class="math inline">\(y_2 = 0\)</span>, then <span class="math inline">\(z_2 = 1/(K-1)\)</span>; and
if <span class="math inline">\(y_{K-1} = 0\)</span>, then <span class="math inline">\(z_{K-1} = 1/2\)</span>.</p>
<p>The break proportions <span class="math inline">\(z\)</span> are applied to determine the stick sizes and
resulting value of <span class="math inline">\(x_k\)</span> for <span class="math inline">\(1 \leq k &lt; K\)</span> by</p>
<p><span class="math display">\[
x_k 