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Bayesiansk overlevelsesanalyse×Bayesiansk regression×Cox Proportional Hazards Regression×Kaplan-Meier overlevelsesestimator×Weibull parametrisk overlevelsesregression×
FagområdeBayesianskBayesianskOverlevelsesanalyseOverlevelsesanalyseOverlevelsesanalyse
FamilieBayesian methodsBayesian methodsSurvival analysisSurvival analysisSurvival analysis
Oprindelsesår2001197219581951
OphavspersonIbrahim, Chen & SinhaCox, D. R.Kaplan, E. L. & Meier, P.Waloddi Weibull
TypeBayesian time-to-event modelBayesian linear modelSemi-parametric hazard regression modelNon-parametric survival estimatorFully parametric survival regression model
Oprindelig kildeIbrahim, J.G., Chen, M.-H. & Sinha, D. (2001). Bayesian Survival Analysis. Springer. DOI ↗Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A. & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955Cox, 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 ↗
Aliasserbayesian sağkalım analizi, bayesian time-to-event analysis, bayesian hazard modelbayesian linear regression, probabilistic regression, bayesian regresyoncox 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
Relaterede42324
ResuméBayesian 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.Bayesian regression is a probabilistic version of linear regression that treats the model parameters as uncertain quantities. Instead of returning a single best-fit estimate, it combines prior knowledge with the observed data to produce a full posterior probability distribution for each parameter, from which credible intervals and predictions are read off.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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ScholarGateSammenlign metoder: Bayesian Survival Analysis · Bayesian Regression · Cox Regression · Kaplan-Meier · Weibull Regression. Hentet 2026-06-18 fra https://scholargate.app/da/compare