手法を比較

	ベイズ頑健回帰	頑健回帰
分野	統計学	統計学
系統	Regression model	Regression model
提唱年	1993	1964
提唱者	Geweke (1993); Gelman et al. (2013)	Peter J. Huber (M-estimation, 1964); Frank Hampel (influence function, 1974)
種類	Bayesian regression with heavy-tailed errors	Regression with outlier resistance
原典	Geweke, J. (1993). Bayesian treatment of the independent Student-t linear model. Journal of Applied Econometrics, 8(S1), S19–S40.	Huber, P. J. (1964). Robust estimation of a location parameter. The Annals of Mathematical Statistics, 35(1), 73–101.
別名	Bayesian heavy-tailed regression, Bayesian Student-t regression, robust Bayesian linear model, BRR	M-estimation regression, robust linear regression, outlier-resistant regression, MM-estimation
関連	6	6
概要	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.	Robust regression estimates the linear relationship between a continuous outcome and predictors while sharply reducing the influence of outliers and leverage points. Unlike OLS, which is highly sensitive to extreme observations, robust methods assign down-weighted influence to atypical data points, producing coefficient estimates that remain stable even when a fraction of the data is contaminated or non-normally distributed.