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| Bayesovská regresia prežitia× | Bayesovský zovšeobecnený lineárny model× | |
|---|---|---|
| Odbor | Štatistika | Štatistika |
| Rodina | Regression model | Regression model |
| Rok vzniku≠ | 1990s–2001 | 1989 (GLM); 1995 (Bayesian BDA) |
| Tvorca≠ | Ibrahim, Chen & Sinha (seminal textbook treatment, 2001); broader Bayesian framework: Gelman et al. | McCullagh & Nelder (GLM framework); Bayesian treatment formalized by Gelman et al. |
| Typ≠ | Bayesian parametric/semiparametric regression | Bayesian regression model |
| Pôvodný zdroj≠ | Ibrahim, J. G., Chen, M.-H., & Sinha, D. (2001). Bayesian Survival Analysis. Springer. ISBN: 978-0387952772 | 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 |
| Ďalšie názvy | Bayesian time-to-event regression, Bayesian parametric survival model, Bayesian survival analysis, Bayesian accelerated failure time model | Bayesian GLM, Bayesian GLIM, Bayesian generalized linear regression, Bayes GLM |
| Príbuzné≠ | 5 | 6 |
| Zhrnutie≠ | Bayesian Survival Regression combines parametric or semiparametric survival models — such as Weibull, log-normal, or Cox proportional hazards — with Bayesian inference. Instead of point estimates, it produces full posterior distributions for regression coefficients and the baseline hazard, naturally handling censored observations and incorporating prior knowledge about event times or covariate effects. | A Bayesian Generalized Linear Model (Bayesian GLM) extends the classical GLM framework by placing prior distributions on the regression coefficients and updating them with data via Bayes' theorem. This yields a full posterior distribution over parameters rather than single point estimates, enabling richer uncertainty quantification and principled incorporation of prior knowledge for any exponential-family outcome. |
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