Gevorg Khandamiryan, Vira Semenova
arXiv 6 Jun 2026 · Econometrics
arXiv:2606.08359 · PDF · DOI · OpenAlex · Extracted main text
We develop a covariate-assisted approach to partially identified parameters that are solutions to an under-identified system of linear equations with known coefficients. Examples include bounds on treatment effects, models of unemployment with state dependence, choice-theoretic models of IV, and random utility models. The boundary (i.e., support function) of the proposed identified set is represented as an average of intersections of regression functions, aggregated over the covariate distribution. We show that the boundary is a regular parameter, propose asymptotic theory, and demonstrate using an empirical application to Jobs First.
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The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | Wenlong Ji and Lihua Lei and Asher Spector (2023) Model-Agnostic Covariate-Assisted Inference on Partially Identified Causal Effects | 1.000 | 7 | 3 | 100% |
| 2 | Beresteanu, Arie and Molinari, Francesca (2008) Asymptotic Properties for a Class of Partially Identified Models | 0.950 | 7 | 3 | 86% |
| 3 | Hirano, Keisuke and Porter, Jack (2012) Impossibility Results for Nondifferentiable Functionals | 0.928 | 4 | 3 | 100% |
| 4 | Kline, Patrick and Tartari, Melissa (2016) Bounding the labor supply responses to a randomized welfare experiment: a revealed preference approach | 0.926 | 29 | 4 | 79% |
| 5 | Luedtke, Alex and van der Laan, Mark (2016) Statistical inference for the mean outcome under a possibly non-unique optimal treatment strategy | 0.874 | 9 | 3 | 67% |
| 6 | Yuichi Kitamura and Jorg Stoye (2018) Nonparametric Analysis of Random Utility Models | 0.811 | 4 | 2 | 100% |
| 7 | Robins, Jamie and Rotnitzky, Andrea (1995) Semiparametric efficiency in multivariate regression models with missing data | 0.811 | 4 | 2 | 100% |
| 8 | Christian Bontemps and Thierry Magnac and Eric Maurin (2012) Set Identified Linear Models | 0.737 | 3 | 2 | 100% |
| 9 | Heckman, James J and Pinto, Rodrigo (2018) Unordered Monotonicity | 0.737 | 3 | 2 | 100% |
| 10 | Alexander W. Levis and Matteo Bonvini and Zhenghao Zeng and Luke Kee… (2025) Covariate-assisted bounds on causal effects with instrumental variables | 0.737 | 3 | 2 | 100% |
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