A <proportional hazards family> has <hazard functions> related by
$$
h(t\mid z)=c(z)h_0(t),
$$
where the <hazard ratio> $c(z)$ is positive and independent of time. Equivalently, its <cumulative hazard functions> satisfy $H(t\mid z)=c(z)H_0(t)$ and its <survivor functions> satisfy $S(t\mid z)=S_0(t)^{c(z)}$.

Solution

Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 207 / 5 / a / Solution

 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2024/iii/paper-207/5/a/solution