方法对比
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| 贝叶斯生存分析× | Cox比例风险回归× | 威布尔参数生存回归× | |
|---|---|---|---|
| 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≠ | 2001 | 1972 | 1951 |
| 提出者≠ | Ibrahim, Chen & Sinha | Cox, D. R. | Waloddi Weibull |
| 类型≠ | Bayesian time-to-event model | Semi-parametric hazard regression model | Fully parametric survival regression model |
| 开创性文献≠ | Ibrahim, 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 ↗ | Kalbfleisch, 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 model | cox ph model, proportional hazards model, cox ph regression, Cox Orantılı Tehlikeler Regresyonu | weibull aft model, weibull survival model, parametric survival regression, Weibull Regresyonu — Parametrik Hayatta Kalma |
| 相关≠ | 4 | 3 | 4 |
| 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. | 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. | 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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