方法对比

	贝叶斯稳健回归	贝叶斯分位数回归
领域	统计学	统计学
方法族	Regression model	Regression model
起源年份	1993	2001–2011
提出者	Geweke (1993); Gelman et al. (2013)	Kozumi & Kobayashi; building on Yu & Moyeed (2001)
类型	Bayesian regression with heavy-tailed errors	Bayesian semiparametric regression
开创性文献	Geweke, J. (1993). Bayesian treatment of the independent Student-t linear model. Journal of Applied Econometrics, 8(S1), S19–S40.	Kozumi, H., & Kobayashi, G. (2011). Gibbs sampling methods for Bayesian quantile regression. Journal of Statistical Computation and Simulation, 81(11), 1565–1578.
别名	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
相关	6	6
摘要	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.