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<p>A sum-wise formulation is proposed for the Kaplan–Meier product limit estimator of partially right-censored survival data. The population estimator is expressed as a sum over the individual units’ empirical and semi-empirical contributions, for observed and censored failures, respectively. This intuitive decomposition is applied to visualize the different contributions of failed and censored units to the overall population estimator.</p>

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The Kaplan–Meier estimator as a sum over units

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年7月14日

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  • Malte C. Tichy

摘要

A sum-wise formulation is proposed for the Kaplan–Meier product limit estimator of partially right-censored survival data. The population estimator is expressed as a sum over the individual units’ empirical and semi-empirical contributions, for observed and censored failures, respectively. This intuitive decomposition is applied to visualize the different contributions of failed and censored units to the overall population estimator.