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| Nelson-Aalen-Schätzer für die kumulative Hazardfunktion× | Kaplan-Meier Überlebensschätzer× | |
|---|---|---|
| Fachgebiet | Überlebenszeitanalyse | Überlebenszeitanalyse |
| Familie | Survival analysis | Survival analysis |
| Entstehungsjahr≠ | 1972 | 1958 |
| Urheber≠ | Wayne Nelson & Odd Aalen | Kaplan, E. L. & Meier, P. |
| Typ≠ | Non-parametric cumulative hazard estimator | Non-parametric survival estimator |
| Wegweisende Quelle≠ | 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 ↗ |
| Aliasnamen≠ | Nelson-Aalen cumulative hazard, Aalen estimator, empirical cumulative hazard, Nelson-Aalen kümülatif hazard tahmincisi | product-limit estimator, km curve, kaplan-meier sağkalım analizi |
| Verwandt≠ | 5 | 2 |
| Zusammenfassung≠ | 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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