手法を比較

	カプラン・マイヤー推定量	Cox Proportional Hazards
分野	統計学	疫学
系統	Survival analysis	Process / pipeline
提唱年	1958	1972
提唱者	Edward L. Kaplan and Paul Meier	Sir David Roxbee Cox
種類	Nonparametric estimator	Semi-parametric regression model
原典	Kaplan, E. L., & Meier, P. (1958). Nonparametric estimation from incomplete observations. Journal of the American Statistical Association, 53(282), 457–481.	Cox, D. R. (1972). Regression models and life-tables. Journal of the Royal Statistical Society: Series B (Methodological), 34(2), 187–202.
別名	KM estimator, product-limit estimator, Kaplan-Meier curve, survival curve estimator	Cox regression, Cox PH model, proportional hazards model, CPH
関連	2	5
概要	The Kaplan-Meier estimator is a nonparametric method for estimating the survival function S(t) — the probability that an individual survives beyond time t — from data that include censored observations. Introduced by Edward L. Kaplan and Paul Meier in their landmark 1958 JASA paper, it is the standard first step in any survival analysis and is among the most-cited statistical methods in biomedical research.	The Cox proportional hazards model is a semi-parametric regression method that estimates the effect of one or more covariates on the hazard — the instantaneous rate of an event such as death, relapse, or failure — while making no assumption about the shape of the baseline hazard function. Introduced by David Cox in 1972, it is the dominant tool for multivariable survival analysis in clinical and epidemiological research.