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Estimator Hazard Kumulatif Nelson-Aalen×Estimator Kaplan-Meier×Uji Log-Rank untuk Membandingkan Kurva Kelangsungan Hidup×
BidangAnalisis SurvivalAnalisis SurvivalAnalisis Survival
KeluargaSurvival analysisSurvival analysisSurvival analysis
Tahun asal197219581966
PencetusWayne Nelson & Odd AalenKaplan, E. L. & Meier, P.Mantel, N.
TipeNon-parametric cumulative hazard estimatorNon-parametric survival estimatorNon-parametric hypothesis test
Sumber perintisNelson, 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 ↗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 ↗
AliasNelson-Aalen cumulative hazard, Aalen estimator, empirical cumulative hazard, Nelson-Aalen kümülatif hazard tahmincisiproduct-limit estimator, km curve, kaplan-meier sağkalım analiziMantel log-rank test, Mantel-Cox test, log-rank sağkalım testi, Log-Rank Testi
Terkait522
RingkasanThe 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.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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ScholarGateBandingkan metode: Nelson-Aalen Estimator · Kaplan-Meier · Log-Rank Test. Diakses 2026-06-19 dari https://scholargate.app/id/compare