手法を比較

	競合リスク生存時間解析	ネルソン・アーレン累積ハザード推定量
分野	生存時間解析	生存時間解析
系統	Survival analysis	Survival analysis
提唱年	1999	1972
提唱者	Fine, J.P. & Gray, R.J.	Wayne Nelson & Odd Aalen
種類	Competing risks survival model	Non-parametric cumulative hazard estimator
原典	Fine, J.P. & Gray, R.J. (1999). A Proportional Hazards Model for the Subdistribution of a Competing Risk. Journal of the American Statistical Association, 94(446), 496–509.	Nelson, W. (1972). Theory and applications of hazard plotting for censored failure data. Technometrics, 14(4), 945–966.
別名	Rekabet Eden Riskler Analizi, cumulative incidence function, CIF analysis, cause-specific survival analysis	Nelson-Aalen cumulative hazard, Aalen estimator, empirical cumulative hazard, Nelson-Aalen kümülatif hazard tahmincisi
関連	5	5
概要	Competing risks analysis, formalized by Fine and Gray in 1999, is a survival analysis framework for settings where a subject can experience one of several mutually exclusive event types. The key quantity is the cumulative incidence function (CIF), which estimates the probability of a specific event occurring by time t in the presence of the other competing events.	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.