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Nested Nonparametric Instrumental Variable Regression: Long Term, Mediated, and Time Varying Treatment Effects
March 12, 2024, 4:44 a.m. | Isaac Meza, Rahul Singh
cs.LG updates on arXiv.org arxiv.org
Abstract: Several causal parameters in short panel data models are scalar summaries of a function called a nested nonparametric instrumental variable regression (nested NPIV). Examples include long term, mediated, and time varying treatment effects identified using proxy variables. However, it appears that no prior estimators or guarantees for nested NPIV exist, preventing flexible estimation and inference for these causal parameters. A major challenge is compounding ill posedness due to the nested inverse problems. We analyze adversarial …
abstract arxiv causal cs.lg data data models econ.em effects examples function however math.st panel parameters regression stat.ml stat.th treatment type variables
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