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Bayesova analiza preživljenja×Regresija proporcionalnih opasnosti Coxa×Procjenitelj preživljenja Kaplan-Meier×Weibullova parametarska regresija preživljenja×
PodručjeBayesovska statistikaAnaliza preživljavanjaAnaliza preživljavanjaAnaliza preživljavanja
ObiteljBayesian methodsSurvival analysisSurvival analysisSurvival analysis
Godina nastanka2001197219581951
TvoracIbrahim, Chen & SinhaCox, D. R.Kaplan, E. L. & Meier, P.Waloddi Weibull
VrstaBayesian time-to-event modelSemi-parametric hazard regression modelNon-parametric survival estimatorFully parametric survival regression model
Temeljni izvorIbrahim, J.G., Chen, M.-H. & Sinha, D. (2001). Bayesian Survival Analysis. Springer. DOI ↗Cox, D. R. (1972). Regression Models and Life-Tables. Journal of the Royal Statistical Society: Series B, 34(2), 187–202. DOI ↗Kaplan, E. L. & Meier, P. (1958). Nonparametric Estimation from Incomplete Observations. Journal of the American Statistical Association, 53(282), 457–481. DOI ↗Kalbfleisch, J. D. & Prentice, R. L. (2002). The Statistical Analysis of Failure Time Data (2nd ed.). Wiley. DOI ↗
Drugi nazivibayesian sağkalım analizi, bayesian time-to-event analysis, bayesian hazard modelcox ph model, proportional hazards model, cox ph regression, Cox Orantılı Tehlikeler Regresyonuproduct-limit estimator, km curve, kaplan-meier sağkalım analiziweibull aft model, weibull survival model, parametric survival regression, Weibull Regresyonu — Parametrik Hayatta Kalma
Srodne4324
SažetakBayesian 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.
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ScholarGateUsporedite metode: Bayesian Survival Analysis · Cox Regression · Kaplan-Meier · Weibull Regression. Preuzeto 2026-06-18 s https://scholargate.app/hr/compare