s to provide additional insight:</p>
<hr />
<h2 id="t-survival-time">
<script type="math/tex">T</script>, Survival Time</h2>
<p>
<script type="math/tex">T</script> is a positive random variable representing the waiting time until an event occurs. Its probability density function (p.d.f.) is <script type="math/tex">f(t)</script> and cumulative distribution function (c.d.f.) is given by
<script type="math/tex; mode=display">\begin{equation*}
F(t) = \text{Pr} \left[ T < t \right] = \int_{-\infty}^{t} f(u) du
\