English

Assumptions and Bounds in the Instrumental Variable Model

Statistics Theory 2024-01-29 v2 Artificial Intelligence Statistics Theory

Abstract

In this note we give proofs for results relating to the Instrumental Variable (IV) model with binary response YY and binary treatment XX, but with an instrument ZZ with KK states. These results were originally stated in Richardson & Robins (2014), "ACE Bounds; SEMS with Equilibrium Conditions," arXiv:1410.0470.

Cite

@article{arxiv.2401.13758,
  title  = {Assumptions and Bounds in the Instrumental Variable Model},
  author = {Thomas S. Richardson and James M. Robins},
  journal= {arXiv preprint arXiv:2401.13758},
  year   = {2024}
}

Comments

27 pages, 1 figure, 1 table. Proofs of Theorems 1 and 2 stated in Richardson and Robins (2014) [arXiv:1410.0470]. v2 improves the writing in a few places

R2 v1 2026-06-28T14:26:17.464Z