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	Bilanciamento dell'Entropia Bayesiana	Ponderazione basata sul punteggio di propensione (PSW / IPW)
Campo	Inferenza causale	Inferenza causale
Famiglia	Regression model	Regression model
Anno di origine	2012-2020s	1983 (propensity score); 2003 (efficient IPW estimator)
Ideatore	Hainmueller (2012, entropy balancing foundation); Bayesian extension developed in subsequent causal inference literature	Rosenbaum & Rubin (propensity score); Hirano, Imbens & Ridder (efficient weighting)
Tipo	Weighting-based causal estimator with Bayesian uncertainty quantification	Causal inference / reweighting
Fonte seminale	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.	Rosenbaum, P. R., & Rubin, D. B. (1983). The central role of the propensity score in observational studies for causal effects. Biometrika, 70(1), 41-55.
Alias	BEB, Bayesian EB, Bayesian covariate balancing, entropy balancing with Bayesian inference	PSW, inverse probability weighting, IPW, propensity-based weighting
Correlati	6	6
Sintesi	Bayesian Entropy Balancing extends the classical entropy balancing approach — which reweights control units so that their covariate moments match the treated group exactly — by embedding this reweighting within a Bayesian framework. This allows researchers to incorporate prior beliefs about treatment propensities, propagate parameter uncertainty into the final causal estimate, and obtain credible intervals rather than only classical confidence intervals.	Propensity score weighting is a causal-inference method that reweights observations so that the covariate distributions of treated and untreated units look exchangeable, enabling unbiased estimation of average treatment effects from observational data. Each unit receives a weight that is the inverse of its probability of receiving the treatment it actually received — a strategy formalised by Rosenbaum and Rubin (1983) and given its efficient semiparametric form by Hirano, Imbens and Ridder (2003).