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| ネルソン・アーレン累積ハザード推定量× | カプラン・マイヤー生存時間推定量× | |
|---|---|---|
| 分野 | 生存時間解析 | 生存時間解析 |
| 系統 | Survival analysis | Survival analysis |
| 提唱年≠ | 1972 | 1958 |
| 提唱者≠ | Wayne Nelson & Odd Aalen | Kaplan, E. L. & Meier, P. |
| 種類≠ | Non-parametric cumulative hazard estimator | Non-parametric survival estimator |
| 原典≠ | Nelson, W. (1972). Theory and applications of hazard plotting for censored failure data. Technometrics, 14(4), 945–966. DOI ↗ | Kaplan, E. L. & Meier, P. (1958). Nonparametric Estimation from Incomplete Observations. Journal of the American Statistical Association, 53(282), 457–481. DOI ↗ |
| 別名≠ | Nelson-Aalen cumulative hazard, Aalen estimator, empirical cumulative hazard, Nelson-Aalen kümülatif hazard tahmincisi | product-limit estimator, km curve, kaplan-meier sağkalım analizi |
| 関連≠ | 5 | 2 |
| 概要≠ | The Nelson-Aalen estimator is a non-parametric estimator of the cumulative hazard function from right-censored time-to-event data. Developed by Wayne Nelson for reliability hazard plotting in 1972 and placed on a rigorous counting-process foundation by Odd Aalen in 1978, it accumulates the ratio of observed events to the number at risk at each event time, providing the natural hazard-scale companion to the Kaplan-Meier survival curve. | The Kaplan-Meier estimator, introduced by Kaplan and Meier in 1958, is a non-parametric method that estimates the survival curve — the probability of remaining event-free over time — from right-censored time-to-event data. The log-rank test is the companion procedure used to compare survival curves between groups. |
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