手法を比較

	ベイズ的分位点回帰	分位点回帰
分野	統計学	計量経済学
系統	Regression model	Regression model
提唱年	2001–2011	1978
提唱者	Kozumi & Kobayashi; building on Yu & Moyeed (2001)	Koenker & Bassett
種類	Bayesian semiparametric regression	Conditional quantile 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. & Bassett, G., Jr. (1978). Regression Quantiles. Econometrica, 46(1), 33-50.
別名	BQR, Bayesian quantile regression model, asymmetric Laplace Bayesian regression, posterior quantile regression	conditional quantile regression, regression quantiles, Kantil Regresyon
関連	6	5
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.	Quantile regression models conditional quantiles of an outcome - the median, the 25th or 75th percentile, and so on - rather than the conditional mean that OLS targets. Introduced by Koenker and Bassett in 1978, it reveals how predictors act across the whole distribution, including its tails.