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Estimador de Risco Cumulativo de Nelson-Aalen×Regressão de Riscos Proporcionais de Cox×Teste Log-Rank para Comparação de Curvas de Sobrevivência×
ÁreaAnálise de sobrevivênciaAnálise de sobrevivênciaAnálise de sobrevivência
FamíliaSurvival analysisSurvival analysisSurvival analysis
Ano de origem197219721966
Autor originalWayne Nelson & Odd AalenCox, D. R.Mantel, N.
TipoNon-parametric cumulative hazard estimatorSemi-parametric hazard regression modelNon-parametric hypothesis test
Fonte seminalNelson, 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 ↗Mantel, N. (1966). Evaluation of Survival Data and Two New Rank Order Statistics Arising in Its Consideration. Cancer Chemotherapy Reports, 50(3), 163–170. link ↗
Outros nomesNelson-Aalen cumulative hazard, Aalen estimator, empirical cumulative hazard, Nelson-Aalen kümülatif hazard tahmincisicox ph model, proportional hazards model, cox ph regression, Cox Orantılı Tehlikeler RegresyonuMantel log-rank test, Mantel-Cox test, log-rank sağkalım testi, Log-Rank Testi
Relacionados532
ResumoThe 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.The log-rank test, developed by Nathan Mantel in 1966, is a non-parametric hypothesis test that compares the overall survival experience of two or more groups throughout the entire follow-up period. It is the standard companion to Kaplan-Meier curves and determines whether observed differences between curves are statistically meaningful.
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ScholarGateComparar métodos: Nelson-Aalen Estimator · Cox Regression · Log-Rank Test. Recuperado em 2026-06-19 de https://scholargate.app/pt/compare