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贝叶斯生存分析×Bayesian Regression×威布尔参数生存回归×
领域贝叶斯贝叶斯生存分析
方法族Bayesian methodsBayesian methodsSurvival analysis
起源年份20011951
提出者Ibrahim, Chen & SinhaWaloddi Weibull
类型Bayesian time-to-event modelBayesian linear modelFully parametric survival regression model
开创性文献Ibrahim, 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: 978-1439840955Kalbfleisch, J. D. & Prentice, R. L. (2002). The Statistical Analysis of Failure Time Data (2nd ed.). Wiley. DOI ↗
别名bayesian sağkalım analizi, bayesian time-to-event analysis, bayesian hazard modelbayesian linear regression, probabilistic regression, bayesian regresyonweibull aft model, weibull survival model, parametric survival regression, Weibull Regresyonu — Parametrik Hayatta Kalma
相关424
摘要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.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.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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ScholarGate方法对比: Bayesian Survival Analysis · Bayesian Regression · Weibull Regression. 于 2026-06-18 检索自 https://scholargate.app/zh/compare