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| Bayesi Egyszerű Lineáris Regresszió× | Bayes-féle robusztus regresszió× | |
|---|---|---|
| Tudományterület | Statisztika | Statisztika |
| Módszercsalád | Regression model | Regression model |
| Keletkezés éve≠ | Early 19th century; textbook synthesis 2013 | 1993 |
| Megalkotó≠ | Laplace, P.-S. (early 19th c.); modern treatment: Gelman et al. | Geweke (1993); Gelman et al. (2013) |
| Típus≠ | Bayesian linear regression | Bayesian regression with heavy-tailed errors |
| Alapmű≠ | 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 | Geweke, J. (1993). Bayesian treatment of the independent Student-t linear model. Journal of Applied Econometrics, 8(S1), S19–S40. DOI ↗ |
| Alternatív nevek | Bayesian SLR, Bayesian univariate regression, probabilistic simple linear regression, Bayesian linear model | Bayesian heavy-tailed regression, Bayesian Student-t regression, robust Bayesian linear model, BRR |
| Kapcsolódó | 6 | 6 |
| Összefoglaló≠ | Bayesian Simple Linear Regression models the relationship between a continuous outcome and a single predictor by combining a Gaussian likelihood with prior distributions over the intercept, slope, and error variance. The result is a full posterior distribution over all parameters, providing probabilistic uncertainty quantification rather than a single point estimate. | Bayesian Robust Regression replaces the Gaussian error assumption of ordinary linear regression with a heavy-tailed distribution — most commonly the Student-t — and estimates all parameters in a Bayesian framework. The heavier tails give outliers less influence on the fitted line, yielding stable coefficient estimates and honest uncertainty intervals even when the data contain unusual observations. |
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