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| Оценъчен метод на Нелсън-Аален за кумулативен риск× | Регресия на пропорционалните опасности на Кокс× | |
|---|---|---|
| Област | Анализ на преживяемостта | Анализ на преживяемостта |
| Семейство | Survival analysis | Survival analysis |
| Година на възникване | 1972 | 1972 |
| Създател≠ | Wayne Nelson & Odd Aalen | Cox, D. R. |
| Тип≠ | Non-parametric cumulative hazard estimator | Semi-parametric hazard regression model |
| Основополагащ източник≠ | Nelson, W. (1972). Theory and applications of hazard plotting for censored failure data. Technometrics, 14(4), 945–966. DOI ↗ | Cox, D. R. (1972). Regression Models and Life-Tables. Journal of the Royal Statistical Society: Series B, 34(2), 187–202. DOI ↗ |
| Други названия | Nelson-Aalen cumulative hazard, Aalen estimator, empirical cumulative hazard, Nelson-Aalen kümülatif hazard tahmincisi | cox ph model, proportional hazards model, cox ph regression, Cox Orantılı Tehlikeler Regresyonu |
| Свързани≠ | 5 | 3 |
| Резюме≠ | 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. | Cox proportional hazards regression, introduced by D. R. Cox in 1972, is a semi-parametric model that estimates how one or more covariates affect the hazard — the instantaneous rate of experiencing an event — while leaving the baseline hazard function unspecified. It is the standard multivariable method in survival analysis and produces hazard ratios that quantify the relative risk associated with each predictor. |
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