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| ベイズ生存時間解析× | カプラン・マイヤー生存時間推定量× | ワイブル生存回帰 (Weibull Parametric Survival Regression)× | |
|---|---|---|---|
| 分野≠ | ベイズ | 生存時間解析 | 生存時間解析 |
| 系統≠ | Bayesian methods | Survival analysis | Survival analysis |
| 提唱年≠ | 2001 | 1958 | 1951 |
| 提唱者≠ | Ibrahim, Chen & Sinha | Kaplan, E. L. & Meier, P. | Waloddi Weibull |
| 種類≠ | Bayesian time-to-event model | Non-parametric survival estimator | Fully parametric survival regression model |
| 原典≠ | Ibrahim, J.G., Chen, M.-H. & Sinha, D. (2001). Bayesian Survival Analysis. Springer. 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 ↗ |
| 別名≠ | bayesian sağkalım analizi, bayesian time-to-event analysis, bayesian hazard model | product-limit estimator, km curve, kaplan-meier sağkalım analizi | weibull aft model, weibull survival model, parametric survival regression, Weibull Regresyonu — Parametrik Hayatta Kalma |
| 関連≠ | 4 | 2 | 4 |
| 概要≠ | 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. | 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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