EconBase
← All papers

Linear Regressions with Combined Data

Xavier D'Haultfoeuille, Christophe Gaillac, Arnaud Maurel

arXiv 6 Dec 2024 · Econometrics · 1 citations (OpenAlex)

arXiv:2412.04816 · PDF · DOI · OpenAlex · Extracted main text

Abstract

We study best linear predictions in a context where the outcome of interest and some of the covariates are observed in two different datasets that cannot be matched. Traditional approaches obtain point identification by relying, often implicitly, on exclusion restrictions. We show that without such restrictions, coefficients of interest can still be partially identified and we derive a constructive characterization of the sharp identified set. We then build on this characterization to develop computationally simple and asymptotically normal estimators of the corresponding bounds. We show that these estimators exhibit good finite sample performances.

Citation extraction

54
references
104
in-text mentions
54
distinct cited
0
self-citations
13,597
main-text words

appendix boundary found by appendix_command · 50% of the source is main text. Read the extracted text to check this.

Most heavily cited references

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.

ReferenceIntensityMentionsSectionsMain text
1Dossi, G (2024) Race and science0.9507386%
2Del Barrio, E., P. Gordaliza, and J.-M. Loubes (2019) A central limit theorem for lp transportation cost on the real line with application to fairness assessment in machine learning0.9416383%
3Hanushek, E. A., L. Kinne, P. Lergetporer, and L. Woessmann (2022) Patience, risk-taking, and human capital investment across countries0.87452100%
4Berthet, P., J.-C. Fort, and T. Klein (2020) A central limit theorem for wasserstein type distances between two distinct univariate distributions0.81142100%
5Boucheron, S. and M. Thomas (2015) Tail index estimation, concentration and adaptivity0.7374350%
6Cambanis, S., G. Simons, and W. Stout (1976) Inequalities for $Ek (X,Y)$ when the marginals are fixed0.7373367%
7Fournier, N. and A. Guillin (2015) On the rate of convergence in Wasserstein distance of the empirical measure0.7373367%
8Pacini, D (2019) Two-sample least squares projection0.6939333%
9Fan, Y., R. Sherman, and M. Shum (2014) Identifying treatment effects under data combination0.58531100%
10Shorack, G. and J. Wellner (1986) Empirical Processes with Applications to Statistics0.5115220%

Showing the top 10 of 54 scored citations.

Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
1Partial Identification in Moment Models with Incomplete Data–-A Conditional Optimal Transport Approach1.000154
2An econometrician's guide to optimal transport0.64441
3Combining stated and revealed preferences0.51121
4Bounds on inequality with incomplete data0.40511
5Distributional Change in Ordinal Data with Missing Observations: Minimal Mobility and Partial Identification0.40511