Conditioning on survival to $L_i$ changes the constant-hazard likelihood contribution to
$$
\theta^{v_i}e^{-\theta(x_i-L_i)}.
$$
Therefore
$$
\widehat\theta=\frac{\sum_i v_i}{\sum_i(x_i-L_i)},
$$
using only person-time accumulated after entry.


Solution

Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 207 / 6 / b / iii / Solution

 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/iii/paper-207/6/b/iii/solution