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| 베이즈 로버스트 회귀× | 베이지안 분위수 회귀× | |
|---|---|---|
| 분야 | 통계학 | 통계학 |
| 계열 | Regression model | Regression model |
| 기원 연도≠ | 1993 | 2001–2011 |
| 창시자≠ | Geweke (1993); Gelman et al. (2013) | Kozumi & Kobayashi; building on Yu & Moyeed (2001) |
| 유형≠ | Bayesian regression with heavy-tailed errors | Bayesian semiparametric regression |
| 원전≠ | Geweke, J. (1993). Bayesian treatment of the independent Student-t linear model. Journal of Applied Econometrics, 8(S1), S19–S40. DOI ↗ | Kozumi, H., & Kobayashi, G. (2011). Gibbs sampling methods for Bayesian quantile regression. Journal of Statistical Computation and Simulation, 81(11), 1565–1578. DOI ↗ |
| 별칭 | Bayesian heavy-tailed regression, Bayesian Student-t regression, robust Bayesian linear model, BRR | BQR, Bayesian quantile regression model, asymmetric Laplace Bayesian regression, posterior quantile regression |
| 관련 | 6 | 6 |
| 요약≠ | 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. | Bayesian Quantile Regression estimates the full posterior distribution of regression coefficients at any chosen quantile of the outcome. By combining the asymmetric Laplace likelihood with prior distributions over the coefficients, it delivers uncertainty-quantified estimates of conditional quantiles — such as the median, the 10th, or the 90th percentile — without assuming Gaussian errors. |
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