athbb{R}^+\)</span> and <span class="math inline">\(\beta \in \mathbb{R}^+\)</span>, then for <span class="math inline">\(\theta \in (0,1)\)</span>, <span class="math display">\[\begin{equation*} \text{Beta}(\theta|\alpha,\beta) =
\frac{1}{\mathrm{B}(\alpha,\beta)} \, \theta^{\alpha - 1} \, (1 -
\theta)^{\beta - 1} , \end{equation*}\]</span> where the beta function <span class="math inline">\(\mathrm{B}()\)</span> is as defined in section <a href="../functions-reference/real-valued_basic_functions.html#beta