ase <span class="math inline">\(\beta_0\)</span> denotes the intercept. In order to use these parameters to obtain predicted probabilities of testing recent for given times since infection, the complementary log-log and logit link functions must be “inverted”, so that the equations giving predicted probabilities are</p>
<p><span class="math display">\[\begin{equation}
    P_R(t) = \exp(-\exp(\beta_{0} + \beta_{1}\ln(t)))
\end{equation}\]</span></p>
<p>and</p>
<p><span class="math display">\[\begin{equat