Fixed administrative censoring $C=\tau$ is noninformative because it is unrelated to the random event time. The censored fraction is
$$
q=\mathbb P(T>\tau)=e^{-\lambda\tau},
\qquad
\tau=-\frac{\log q}{\lambda}.
$$
Moreover, $\mathbb E v=1-q$ and
$$
\mathbb E X=\int_0^\tau e^{-\lambda t}dt=\frac{1-q}{\lambda},
$$
so the event-to-time ratio remains $\lambda$.


Solution

Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 207 / 4 / c / i / Solution

 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/iii/paper-207/4/c/i/solution