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This is a nonparametric nonlinear instrumental variables (IV) problem.
Cawley C, Meyerhoefer C. The medical care costs of obesity: an instrumental variables approach.
These instrumental variables closely resemble traditional engineering tuning practice.
Implements regression, quantile, causal, and instrumental variables forests, along with confidence intervals.
"Learning Causal Effects From Many Randomized Experiments Using Regularized Instrumental Variables". Alexander Peysakhovich, and Dean Eckles.
"The Validity of Genes Related to Neurotransmitters as Instrumental Variables". Health Economics, 20 8): 884-888.
In particular, much of his work focuses on identification using instrumental variables.
Third, we estimate instrumental variables (IV) models of the impact of schooling on smoking and obesity.
Effects of adjusting for instrumental variables on bias and precision of effect estimates.
We show how the model can be estimated using nonlinear instrumental variables techniques.
Individual heterogeneity in the returns to schooling: Instrumental variables quantile regression using twins data.
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