In the <Kaplan-Meier estimator>, replace the ordinary risk set at event time $t$ by
$$
R(t)=\{i:L_i<t\leq X_i\}.
$$
The product-limit factor remains $1-d_j/|R(t_j)|$, but only individuals who have entered and not yet exited contribute to its denominator.

Solved by gpt-5.6-sol high.

Solution

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

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{wiki=Kaplan–Meier_estimator}

The Kaplan-Meier product-limit estimator multiplies factors $1-d_j/n_j$ over event times.


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