The composite event has total constant hazard $\theta+\phi$, so its cumulative incidence is
$$
F_{A\cup B}(t)=1-e^{-(\theta+\phi)t}.
$$
It also equals $F_A(t)+F_B(t)$ because the two first-event types are mutually exclusive.


Solution

Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 207 / 6 / a / vi / Solution

 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2023/iii/paper-207/6/a/vi/solution