The group-specific estimated <cumulative hazard> jumps only when that group experiences the event, so
$$
\Delta\widehat H_j^{(1)}=\frac{u_j}{r_j^{(1)}},
\qquad
\Delta\widehat H_j^{(0)}=\frac{1-u_j}{r_j^{(0)}}.
$$

Solution

Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 207 / 4 / c / ii / Solution

 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2024/iii/paper-207/4/c/ii/solution