手法を比較

	ベイズ的分位点回帰	頑健分位点回帰
分野	統計学	統計学
系統	Regression model	Regression model
提唱年	2001–2011	1993–1997
提唱者	Kozumi & Kobayashi; building on Yu & Moyeed (2001)	Koenker & Bassett (1978); robust extensions by Machado (1993) and He (1997)
種類	Bayesian semiparametric regression	Robust semiparametric regression
原典	Kozumi, H., & Kobayashi, G. (2011). Gibbs sampling methods for Bayesian quantile regression. Journal of Statistical Computation and Simulation, 81(11), 1565–1578.	Koenker, R. (2005). Quantile Regression. Cambridge University Press. ISBN: 978-0521608275
別名	BQR, Bayesian quantile regression model, asymmetric Laplace Bayesian regression, posterior quantile regression	robust QR, outlier-resistant quantile regression, bounded-influence quantile regression, RQR
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.	Robust Quantile Regression estimates conditional quantiles of a response variable while simultaneously downweighting the influence of outliers. By combining the asymmetric loss function of standard quantile regression with bounded-influence or M-estimation weights, it provides reliable quantile estimates even when data contain extreme observations or heavy-tailed error distributions.