Under the multiplicative IV model, any counterfactual functional of the treated that solves a moment equation is identified and can be estimated efficiently with valid inference.
Identification and estimation of local average treatment effects, 1995
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Inference on Nonlinear Counterfactual Functionals under a Multiplicative IV Model
Under the multiplicative IV model, any counterfactual functional of the treated that solves a moment equation is identified and can be estimated efficiently with valid inference.