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| Μπεϋζιανή Παλινδρόμηση× | Παλινδρόμηση Αναλογικών Κινδύνων του Cox× | Παραμετρική Ανάλυση Επιβίωσης Weibull× | |
|---|---|---|---|
| Πεδίο≠ | Μπεϋζιανή Στατιστική | Ανάλυση Επιβίωσης | Ανάλυση Επιβίωσης |
| Οικογένεια≠ | Bayesian methods | Survival analysis | Survival analysis |
| Έτος προέλευσης≠ | — | 1972 | 1951 |
| Δημιουργός≠ | — | Cox, D. R. | Waloddi Weibull |
| Τύπος≠ | Bayesian linear model | Semi-parametric hazard regression model | 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 | 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 ↗ |
| Εναλλακτικές ονομασίες≠ | bayesian linear regression, probabilistic regression, bayesian regresyon | 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 |
| Συναφείς≠ | 2 | 3 | 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. | 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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