The Kaplan-Meier Estimator as a Sum over Units
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915603936182272 |
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| author | Tichy, Malte C. |
| author_facet | Tichy, Malte C. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_04721 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Kaplan-Meier Estimator as a Sum over Units Tichy, Malte C. Methodology 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. |
| title | The Kaplan-Meier Estimator as a Sum over Units |
| topic | Methodology |
| url | https://arxiv.org/abs/2511.04721 |