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| Nelson-Aalen 累积风险估计量× | 簇生存数据共享脆弱性模型× | |
|---|---|---|
| 领域 | 生存分析 | 生存分析 |
| 方法族 | Survival analysis | Survival analysis |
| 起源年份≠ | 1972 | 1979 |
| 提出者≠ | Wayne Nelson & Odd Aalen | Vaupel, J.W., Manton, K.G. & Stallard, E. |
| 类型≠ | Non-parametric cumulative hazard estimator | Random effects survival model |
| 开创性文献≠ | Nelson, W. (1972). Theory and applications of hazard plotting for censored failure data. Technometrics, 14(4), 945–966. DOI ↗ | Vaupel, J.W., Manton, K.G. & Stallard, E. (1979). The Impact of Heterogeneity in Individual Frailty on the Dynamics of Mortality. Demography, 16(3), 439–454. DOI ↗ |
| 别名≠ | Nelson-Aalen cumulative hazard, Aalen estimator, empirical cumulative hazard, Nelson-Aalen kümülatif hazard tahmincisi | shared frailty model, random effects survival model, Frailty Modeli (Paylaşılan Kırılganlık) |
| 相关≠ | 5 | 3 |
| 摘要≠ | 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 shared frailty model, introduced by Vaupel, Manton, and Stallard in 1979, extends standard survival regression by incorporating a random effect — the 'frailty' — that captures unobserved heterogeneity among subjects or clusters. When survival outcomes are measured on individuals who share a common environment (patients in the same hospital, members of the same family, animals in the same litter), a frailty term accounts for the within-cluster dependence that ordinary Cox regression ignores. |
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