مقایسهٔ روش‌ها

	مدل توأم برای داده‌های طولی و زمان تا رویداد	برآوردگر خطر تجمعی نلسون-آلن
حوزه	تحلیل بقا	تحلیل بقا
خانواده	Survival analysis	Survival analysis
سال پیدایش	2004	1972
پدیدآور	Tsiatis, A.A. & Davidian, M.; Rizopoulos, D.	Wayne Nelson & Odd Aalen
نوع	Semiparametric regression model	Non-parametric cumulative hazard estimator
منبع بنیادین	Rizopoulos, D. (2012). Joint Models for Longitudinal and Time-to-Event Data. CRC Press.	Nelson, W. (1972). Theory and applications of hazard plotting for censored failure data. Technometrics, 14(4), 945–966.
نام‌های دیگر	joint model, shared random effects model, longitudinal-survival joint model, Joint Model (Boylamsal + Sağkalım Birleşik Model)	Nelson-Aalen cumulative hazard, Aalen estimator, empirical cumulative hazard, Nelson-Aalen kümülatif hazard tahmincisi
مرتبط	5	5
خلاصه	The joint model for longitudinal and time-to-event data, formalised by Tsiatis and Davidian in 2004 and extended comprehensively by Rizopoulos in 2012, simultaneously estimates a mixed-effects model for repeatedly measured biomarkers and a survival model for the time to an event, linking the two processes through shared random effects. It resolves two major problems that simpler approaches cannot handle: informative dropout from longitudinal studies and the endogeneity of time-varying biomarkers used as covariates in a Cox model.	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.