bayes.html">get_equi_bayes</a></code>). Call one of these outputs from
<code>equi_mcmc</code> \(\Psi\). Then this function calculates \(\Sigma =
\Psi^-1\Psi^-T\), which are the posterior draws of the component covariance
matrices. These component covariance matrices are constrained to have
determinant one, hence there is a total variation parameter \(\sigma^2\).</p>
    </div>
    <div id="references">
    <h2>References</h2>

<ul><li><p>Gerard, D., &amp; Hoff, P. (2015). Equivariant minimax dominators of t