IAI Actuarial Core Principles · Risk Modelling and Survival Analysis · Estimation procedures for lifetime distributions
In a Kaplan-Meier analysis, the largest observation is a right-censored time. What is true of the estimate beyond that time?
When the largest observation is censored, the Kaplan-Meier estimate stays at its last value and does not fall to zero. Beyond that time there is no data, so survival is not estimated there.
- AThe estimate is zero
- BThe estimate is undefined or not estimated beyond the last observationCorrect
- CThe estimate falls by the proportion censored
- DThe estimate equals the Nelson-Aalen value
- The estimate is 1
Explanation
If the last observation is censored, the estimate stays at the value after the last death and does not reach zero. Beyond the last observation there is no data, so the survival function cannot be reliably estimated.
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