A single-regularization-parameter RKHS estimator for average marginal effects in partially linear IV models is shown to be consistent and asymptotically normal, with a valid Bayesian bootstrap for inference.
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Develops shadow variable identification and SIO estimation achieving asymptotic normality and local efficiency for mediation effects under nonignorable missing confounders.
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Average Marginal Effects in One-Step Partially Linear Instrumental Regressions
A single-regularization-parameter RKHS estimator for average marginal effects in partially linear IV models is shown to be consistent and asymptotically normal, with a valid Bayesian bootstrap for inference.
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Efficient Nonparametric Inference for Mediation Analysis with Nonignorable Missing Confounders
Develops shadow variable identification and SIO estimation achieving asymptotic normality and local efficiency for mediation effects under nonignorable missing confounders.