rkov chain generates samples from the target
distribution only after it has converged to equilibrium (i.e.,
equilibrium is defined as being achieved when <span class="math inline">\(p(\theta^{(n)})\)</span> is the
target density). The following point cannot be expressed strongly
enough:</p>
<ul>
<li><p>In theory, <em>convergence is only guaranteed asymptotically</em> as the
number of draws grows without bound.</p></li>
<li><p>In practice, <em>diagnostics must be applied to monitor convergence</em>
for the f