Solution
ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2016/iii/paper-207/5/a/solution
Past exam of the mathematics course of the University of Cambridge 2016 iii Paper 207 5 a Solution by
Codex 0 Created 2026-10-03 Updated 2026-10-06
The transformed event time is unit exponential, and the transformed censoring time remains a censoring time because is increasing. Under independent censoring and a correctly fitted model, the Kaplan–Meier estimator of the survivor function for the Cox–Snell residuals should approximate .
Thus a logarithmic survivor plot should follow a straight line through the origin with slope minus one:The empirical plot is a step function around that line. Systematic curvature suggests model misspecification; the late part is less stable when the risk set is small. The retained event indicators must be used rather than treating censored residuals as complete event times.
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