方法对比
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| Bayesian Regression× | Cox比例风险回归× | Kaplan-Meier生存估计量× | |
|---|---|---|---|
| 领域≠ | 贝叶斯 | 生存分析 | 生存分析 |
| 方法族≠ | Bayesian methods | Survival analysis | Survival analysis |
| 起源年份≠ | — | 1972 | 1958 |
| 提出者≠ | — | Cox, D. R. | Kaplan, E. L. & Meier, P. |
| 类型≠ | Bayesian linear model | Semi-parametric hazard regression model | Non-parametric survival estimator |
| 开创性文献≠ | 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: 978-1439840955 | 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 ↗ |
| 别名≠ | bayesian linear regression, probabilistic regression, bayesian regresyon | cox ph model, proportional hazards model, cox ph regression, Cox Orantılı Tehlikeler Regresyonu | product-limit estimator, km curve, kaplan-meier sağkalım analizi |
| 相关≠ | 2 | 3 | 2 |
| 摘要≠ | 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. |
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