ne represents the stretched exponential function, due to the asymptotic result</p>
<p><span class="math display">\[f(x; \alpha, \tau) \sim \exp(-(x/\tau)^\alpha), \quad x \downarrow 0.\]</span></p>
<p>The straight dashed line in the second plot represents the function <span class="math inline">\(x^{-\alpha}\)</span>, showing asymptotic equivalence to a power-law for large values.</p>
<div class="sourceCode" id="cb2"><pre class="downlit sourceCode r">
<code class="sourceCode R"><span class="va">r</span> <spa