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| Μπεϋζιανή Παλινδρόμηση× | Εκτιμητής Επιβίωσης Kaplan-Meier× | Παραμετρική Ανάλυση Επιβίωσης Weibull× | |
|---|---|---|---|
| Πεδίο≠ | Μπεϋζιανή Στατιστική | Ανάλυση Επιβίωσης | Ανάλυση Επιβίωσης |
| Οικογένεια≠ | Bayesian methods | Survival analysis | Survival analysis |
| Έτος προέλευσης≠ | — | 1958 | 1951 |
| Δημιουργός≠ | — | Kaplan, E. L. & Meier, P. | Waloddi Weibull |
| Τύπος≠ | Bayesian linear model | Non-parametric survival estimator | Fully parametric survival regression model |
| Θεμελιώδης πηγή≠ | 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 ↗ | Kalbfleisch, J. D. & Prentice, R. L. (2002). The Statistical Analysis of Failure Time Data (2nd ed.). Wiley. DOI ↗ |
| Εναλλακτικές ονομασίες≠ | bayesian linear regression, probabilistic regression, bayesian regresyon | product-limit estimator, km curve, kaplan-meier sağkalım analizi | weibull aft model, weibull survival model, parametric survival regression, Weibull Regresyonu — Parametrik Hayatta Kalma |
| Συναφείς≠ | 2 | 2 | 4 |
| Σύνοψη≠ | 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. | 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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