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The Kaplan-Meier Estimator as a Sum over Units
Published: November 6, 2025 |
arXiv ID: 2511.04721v1
By: Malte C. Tichy
Potential Business Impact:
Shows how sick people's survival changes over time.
Business Areas:
A/B Testing
Data and Analytics
A sum-wise formulation is proposed for the Kaplan-Meier product limit estimator of partially right-censored survival data. The derived representation permits to write the population's estimator as a sum over its individual units' semi-empirical estimators. This intuitive decomposition is applied to visualize the different contributions of failed and censored units to the overall population estimator.
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