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Proof of Theorems and Lemma.

Table S1. The averages and standard deviations (SD) of 500 estimates, the bootstrap standard errors (BSE), and the empirical coverage probabilities (CP) at the selected time points with sample sizes (n) of 250 and 500 and censoring rate of 30 per cent under independent censoring.

Table S2. The averages and standard deviations (SD) of 500 estimates, the bootstrap standard errors (BSE), and the empirical coverage probabilities (CP) at the selected time points with sample sizes (n) of 250 and 500 and censoring rate of 50 per cent under independent censoring.

Table S3. The averages and standard deviations (SD) of 500 estimates, the bootstrap standard errors (BSE), and the empirical coverage probabilities (CP) at the selected time points with sample sizes (n) of 250 and 500 and censoring rate of 50 per cent under marker-dependent censoring.

Table S4. The averages and standard deviations (SD) of 500 estimates at the selected time points under sample sizes (n) of 250 and 500 and censoring rates (CR) of 30 per cent and 50 per cent under the Cox PH model.

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