手法を比較

	ベイズ的マッチング推定量	エントロピー・バランシング
分野	因果推論	因果推論
系統	Regression model	Regression model
提唱年	1978–1998	2012
提唱者	Donald B. Rubin (Bayesian causal framework); extended by Heckman, Ichimura & Todd (matching estimator formalization)	Jens Hainmueller
種類	Bayesian causal inference / nonparametric matching	Covariate-balancing reweighting
原典	Rubin, D. B. (1978). Bayesian inference for causal effects: The role of randomization. The Annals of Statistics, 6(1), 34-58.	Hainmueller, J. (2012). Entropy balancing for causal effects: A multivariate reweighting method to produce balanced samples in observational studies. Political Analysis, 20(1), 25-46.
別名	Bayesian matching, Bayesian nonparametric matching, Bayes-ATE matching, posterior matching estimator	EB, entropy reweighting, covariate balancing via entropy, Hainmueller balancing
関連	6	6
概要	The Bayesian Matching Estimator estimates average treatment effects in observational studies by combining classical nearest-neighbour or kernel matching with a Bayesian posterior over the treatment effect. It inherits matching's covariate-balancing logic while propagating uncertainty through a full posterior distribution rather than relying on asymptotic standard errors, yielding credible intervals that reflect both sampling variability and prior knowledge.	Entropy balancing is a preprocessing method for causal inference that assigns weights to control-group units so that the reweighted control sample matches the treatment group exactly on a chosen set of covariate moments (means, variances, skewness). Introduced by Hainmueller (2012), it replaces trial-and-error propensity-score trimming with a constrained maximum-entropy optimisation that achieves balance in a single step.