lity-density-function-1">Probability density function</h3>
<p>If <span class="math inline">\(\mu \in (0, 1)\)</span> and <span class="math inline">\(\kappa \in \mathbb{R}^+\)</span>, then for <span class="math inline">\(\theta
\in (0,1)\)</span>, <span class="math display">\[\begin{equation*} \mathrm{Beta\_Proportion}(\theta|\mu,\kappa) =
\frac{1}{\mathrm{B}(\mu \kappa, (1 - \mu) \kappa)} \,
\theta^{\mu\kappa - 1} \, (1 - \theta)^{(1 - \mu)\kappa- 1} , \end{equation*}\]</span> where the beta function <span 