قارن الطرق

	تحليل البقاء على قيد الحياة البايزي	انحدار كوكس للمخاطر النسبية	مقدّر البقاء لكابلان-ماير	انحدار وايبل البارامتري للبقاء
المجال	بايزي	تحليل البقاء	تحليل البقاء	تحليل البقاء
العائلة	Bayesian methods	Survival analysis	Survival analysis	Survival analysis
سنة النشأة	2001	1972	1958	1951
صاحب الطريقة	Ibrahim, Chen & Sinha	Cox, D. R.	Kaplan, E. L. & Meier, P.	Waloddi Weibull
النوع	Bayesian time-to-event model	Semi-parametric hazard regression model	Non-parametric survival estimator	Fully parametric survival regression model
المصدر التأسيسي	Ibrahim, J.G., Chen, M.-H. & Sinha, D. (2001). Bayesian Survival Analysis. Springer.	Cox, D. R. (1972). Regression Models and Life-Tables. Journal of the Royal Statistical Society: Series B, 34(2), 187–202.	Kaplan, E. L. & Meier, P. (1958). Nonparametric Estimation from Incomplete Observations. Journal of the American Statistical Association, 53(282), 457–481.	Kalbfleisch, J. D. & Prentice, R. L. (2002). The Statistical Analysis of Failure Time Data (2nd ed.). Wiley.
الأسماء البديلة	bayesian sağkalım analizi, bayesian time-to-event analysis, bayesian hazard model	cox ph model, proportional hazards model, cox ph regression, Cox Orantılı Tehlikeler Regresyonu	product-limit estimator, km curve, kaplan-meier sağkalım analizi	weibull aft model, weibull survival model, parametric survival regression, Weibull Regresyonu — Parametrik Hayatta Kalma
ذات صلة	4	3	2	4
الملخص	Bayesian survival analysis applies Bayesian inference to time-to-event models — Cox proportional hazards, parametric (Weibull, exponential), and cure models. Formalised comprehensively by Ibrahim, Chen and Sinha (2001), the approach encodes prior knowledge about hazard rates and regression coefficients, then updates it with censored survival data to yield posterior hazard ratios and credible intervals rather than single point estimates.	Cox proportional hazards regression, introduced by D. R. Cox in 1972, is a semi-parametric model that estimates how one or more covariates affect the hazard — the instantaneous rate of experiencing an event — while leaving the baseline hazard function unspecified. It is the standard multivariable method in survival analysis and produces hazard ratios that quantify the relative risk associated with each predictor.	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.	Weibull regression is a fully parametric survival model, formalised by Kalbfleisch and Prentice, that assumes survival times follow a Weibull distribution. A shape parameter controls whether the hazard increases, decreases, or remains constant over time, while covariates shift the scale of the distribution to express how predictors affect survival.