Matching-based ATE estimators have explicit non-asymptotic Gaussian and multiplier-bootstrap approximation bounds with rates in sample size, number of matches, and treatment balance.
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Gaussian and Bootstrap Approximation for Matching-based Average Treatment Effect Estimators
Matching-based ATE estimators have explicit non-asymptotic Gaussian and multiplier-bootstrap approximation bounds with rates in sample size, number of matches, and treatment balance.