Causal Inference with Treatment Measurement Error: A Nonparametric Instrumental Variable Approach
处理变量存在测量误差时的因果推断:非参数工具变量方法
We propose a kernel-based nonparametric estimator for the causal effect when the cause is corrupted by error. We do so by generalizing estimation in the instrumental variable setting. Despite significant work on regression with measurement error, additionally handling unobserved confounding in the continuous setting is non-trivial: we have seen little prior work. As a by-product of our investigation, we clarify a connection between mean embeddings and characteristic…