مقایسهٔ روش‌ها

	تحلیل بقای مخاطرات رقیب	برآوردگر خطر تجمعی نلسون-آلن
حوزه	تحلیل بقا	تحلیل بقا
خانواده	Survival analysis	Survival analysis
سال پیدایش	1999	1972
پدیدآور	Fine, J.P. & Gray, R.J.	Wayne Nelson & Odd Aalen
نوع	Competing risks survival model	Non-parametric cumulative hazard estimator
منبع بنیادین	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.
نام‌های دیگر	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
مرتبط	5	5
خلاصه	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.