So sánh phương pháp

	Hồi quy phân vị mạnh mẽ	Hồi quy phân vị Bayes
Lĩnh vực	Thống kê	Thống kê
Họ	Regression model	Regression model
Năm ra đời	1993–1997	2001–2011
Người khởi xướng	Koenker & Bassett (1978); robust extensions by Machado (1993) and He (1997)	Kozumi & Kobayashi; building on Yu & Moyeed (2001)
Loại	Robust semiparametric regression	Bayesian semiparametric regression
Công trình gốc	Koenker, R. (2005). Quantile Regression. Cambridge University Press. ISBN: 978-0521608275	Kozumi, H., & Kobayashi, G. (2011). Gibbs sampling methods for Bayesian quantile regression. Journal of Statistical Computation and Simulation, 81(11), 1565–1578.
Tên gọi khác	robust QR, outlier-resistant quantile regression, bounded-influence quantile regression, RQR	BQR, Bayesian quantile regression model, asymmetric Laplace Bayesian regression, posterior quantile regression
Liên quan	6	6
Tóm tắt	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.	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.