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arXiv 1701.02424stat.MEmath.PRmath.STstat.TH
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基于经验过程模型的流行加权Kaplan-Meier曲线面积分布的渐近收敛性

Asymptotic convergence in distribution of the area bounded by prevalence-weighted Kaplan-Meier curves using empirical process modeling

Aaron Heuser, Minh Huynh, Joshua C. Chang

摘要:

Kaplan-Meier乘积限估计量是事件时间分析中一个简单而强大的工具。对于分层为队列的人群,存在一种扩展,其中通过队列水平生存曲线的加权平均生成人群生存曲线。为了使用该统计量进行群体水平的比较,我们分析了两条加权生存曲线之间的面积统计量。基于乘积限估计量的经验过程,我们导出了该统计量的大样本行为。该估计器被一个跨学科的NIH-SSA团队用于确定医疗条件,以优先考虑残疾福利处理中的裁定。

英文摘要:

The Kaplan-Meier product-limit estimator is a simple and powerful tool in time to event analysis. An extension exists for populations stratified into cohorts where a population survival curve is generated by weighted averaging of cohort-level survival curves. For making population-level comparisons using this statistic, we analyze the statistics of the area between two such weighted survival curves. We derive the large sample behavior of this statistic based on an empirical process of product-limit estimators. This estimator was used by an interdisciplinary NIH-SSA team in the identification of medical conditions to prioritize for adjudication in disability benefits processing.

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