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| Bayesovo zaključivanje s pogreškom mjerenja× | Bayesovska regresija× | |
|---|---|---|
| Područje | Bayesovska statistika | Bayesovska statistika |
| Obitelj | Bayesian methods | Bayesian methods |
| Godina nastanka≠ | 1993 | — |
| Tvorac≠ | Richardson & Gilks (Bayesian formulation); Carroll et al. (comprehensive framework) | — |
| Vrsta≠ | Bayesian errors-in-variables model | Bayesian linear model |
| Temeljni izvor≠ | Carroll, R. J., Ruppert, D., Stefanski, L. A., & Crainiceanu, C. M. (2006). Measurement Error in Nonlinear Models: A Modern Perspective (2nd ed.). Chapman & Hall/CRC. ISBN: 978-1584886433 | 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 |
| Drugi nazivi≠ | Bayesian errors-in-variables model, Bayesian EIV model, Bayesian measurement error model, Bayesian misclassification model | bayesian linear regression, probabilistic regression, bayesian regresyon |
| Srodne≠ | 5 | 2 |
| Sažetak≠ | Bayesian inference with measurement error extends the standard Bayesian framework to situations where one or more covariates or outcomes are observed with noise or misclassification. By treating the true unobserved values as latent variables and assigning them priors, the model jointly estimates the true exposure distribution and the structural parameters of interest, propagating all uncertainty through the posterior. | 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. |
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