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| Байесов анализ на преживяемостта× | Байесов регресионен модел× | Оценител на преживяемостта на Каплан-Майер× | |
|---|---|---|---|
| Област≠ | Бейсови методи | Бейсови методи | Анализ на преживяемостта |
| Семейство≠ | Bayesian methods | Bayesian methods | Survival analysis |
| Година на възникване≠ | 2001 | — | 1958 |
| Създател≠ | Ibrahim, Chen & Sinha | — | Kaplan, E. L. & Meier, P. |
| Тип≠ | Bayesian time-to-event model | Bayesian linear model | Non-parametric survival estimator |
| Основополагащ източник≠ | 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: 978-1439840955 | Kaplan, E. L. & Meier, P. (1958). Nonparametric Estimation from Incomplete Observations. Journal of the American Statistical Association, 53(282), 457–481. DOI ↗ |
| Други названия | bayesian sağkalım analizi, bayesian time-to-event analysis, bayesian hazard model | bayesian linear regression, probabilistic regression, bayesian regresyon | product-limit estimator, km curve, kaplan-meier sağkalım analizi |
| Свързани≠ | 4 | 2 | 2 |
| Резюме≠ | 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. | 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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