विधियों की तुलना करें

	कैप्लान-मेयर सर्वाइवल एस्टिमेटर	उत्तरजीविता वक्रों की तुलना के लिए लॉग-रैंक परीक्षण	नेल्सन-एलेन संचयी संकट अनुमानक
क्षेत्र	उत्तरजीविता	उत्तरजीविता	उत्तरजीविता
परिवार	Survival analysis	Survival analysis	Survival analysis
उद्भव वर्ष	1958	1966	1972
प्रवर्तक	Kaplan, E. L. & Meier, P.	Mantel, N.	Wayne Nelson & Odd Aalen
प्रकार	Non-parametric survival estimator	Non-parametric hypothesis test	Non-parametric cumulative hazard estimator
मौलिक स्रोत	Kaplan, E. L. & Meier, P. (1958). Nonparametric Estimation from Incomplete Observations. Journal of the American Statistical Association, 53(282), 457–481.	Mantel, N. (1966). Evaluation of Survival Data and Two New Rank Order Statistics Arising in Its Consideration. Cancer Chemotherapy Reports, 50(3), 163–170.	Nelson, W. (1972). Theory and applications of hazard plotting for censored failure data. Technometrics, 14(4), 945–966.
उपनाम	product-limit estimator, km curve, kaplan-meier sağkalım analizi	Mantel log-rank test, Mantel-Cox test, log-rank sağkalım testi, Log-Rank Testi	Nelson-Aalen cumulative hazard, Aalen estimator, empirical cumulative hazard, Nelson-Aalen kümülatif hazard tahmincisi
संबंधित	2	2	5
सारांश	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.	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.