a_proportion density of <code>theta</code> in <span class="math inline">\((0,1)\)</span> given mean mu and precision kappa</p>
<small><i>Available since 2.19</i></small>
<a id="index-entry-2ac15d6f84ec0c3a108e76aeec46e14b582e5bfb" class="index-entry"></a> <!-- real; beta_proportion_lupdf; -->
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<p><code>real</code> <strong><code>beta_proportion_lupdf</code></strong><code>(reals theta | reals mu, reals kappa)</code><br> The log of the beta_proportion density of <code>theta</code> in <span class="math i