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| Regressió Bayesiana× | Regressió de Cox amb perills proporcionals× | Regressió de supervivència paramètrica de Weibull× | |
|---|---|---|---|
| Camp≠ | Bayesià | Supervivència | Supervivència |
| Família≠ | Bayesian methods | Survival analysis | Survival analysis |
| Any d'origen≠ | — | 1972 | 1951 |
| Autor original≠ | — | Cox, D. R. | Waloddi Weibull |
| Tipus≠ | Bayesian linear model | Semi-parametric hazard regression model | Fully parametric survival regression model |
| Font seminal≠ | 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 ↗ |
| Àlies≠ | 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 |
| Relacionats≠ | 2 | 3 | 4 |
| Resum≠ | 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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