PRTE partial identification under IV is cast as a CCOT problem over potential outcomes and latent resistance, reducing to 1D OT problems for sharp closed-form bounds.
We first compute the empirical marginal averages over the auxiliary sample:¯p(z) = 1 |I1| P i∈I1bp(z, Xi)and ¯q(z) = 1 |I1| P i∈I1bq(z, Xi)
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Partial Identification of Policy-Relevant Treatment Effects with Instrumental Variables via Optimal Transport
PRTE partial identification under IV is cast as a CCOT problem over potential outcomes and latent resistance, reducing to 1D OT problems for sharp closed-form bounds.