Covariate balance contributes to improve estimation accuracy for causal inference. This paper achieves optimal covariate balance for continuous treatment by minimizing the distributional difference between the covariates and a specified weighted covariates, which is very different from the...

This paper assesses the effects of continuous treatments by weighting methods under unconfoundedness. We propose a new statistic termed weighted sample distance covariance, as well as a new identification method of balancing weights that incorporates weighted sample distance covariance and...