手法を比較

	ベイズ的分位点回帰	ベイズ頑健回帰
分野	統計学	統計学
系統	Regression model	Regression model
提唱年	2001–2011	1993
提唱者	Kozumi & Kobayashi; building on Yu & Moyeed (2001)	Geweke (1993); Gelman et al. (2013)
種類	Bayesian semiparametric regression	Bayesian regression with heavy-tailed errors
原典	Kozumi, H., & Kobayashi, G. (2011). Gibbs sampling methods for Bayesian quantile regression. Journal of Statistical Computation and Simulation, 81(11), 1565–1578.	Geweke, J. (1993). Bayesian treatment of the independent Student-t linear model. Journal of Applied Econometrics, 8(S1), S19–S40.
別名	BQR, Bayesian quantile regression model, asymmetric Laplace Bayesian regression, posterior quantile regression	Bayesian heavy-tailed regression, Bayesian Student-t regression, robust Bayesian linear model, BRR
関連	6	6
概要	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.	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.