Instrumental Variable Estimation
Overview
Instrumental variable estimation uses variables that shift treatment but affect outcomes only through treatment to recover causal effects from observational or experimental data. Classical two-stage and control-function methods are being extended with kernel, Gaussian-process, and neural approaches for nonlinear settings, including high-dimensional covariates, quantile effects, and changing environments. Researchers also use instruments in applications such as pricing, medical imaging, and treatment decisions, while Bayesian and conformal methods aim to quantify uncertainty or provide valid bounds. A central tension is that flexible estimators can handle complex data, but weak or invalid instruments and ill-posed inverse problems can make effects difficult to identify reliably.
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