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Higher-Order Neyman Orthogonality in Moment-Condition Models

Stéphane Bonhomme, Koen Jochmans, Whitney K. Newey, Martin Weidner

arXiv 11 May 2026 · Econometrics

arXiv:2605.10842 · PDF · DOI · OpenAlex · Extracted main text

Abstract

We construct moment functions that are Neyman-orthogonal to a chosen order in parametric moment condition models. These moment functions reduce sensitivity to nuisance estimation error and, as such, offer a unified and tractable route to higher-order debiasing in a wide range of econometric models. The number of additional nuisance parameters required by our construction, beyond those already present in the original moment conditions, is independent of the order of orthogonalization and can be reduced to a single scalar if desired.

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32
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53
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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
1Chernozhukov, V., D. Chetverikov, M. Demirer, E. Duflo, C. Hansen, W… (2018) Double/debiased machine learning for treatment and structural parameters0.92843100%
2Bonhomme, S., K. Jochmans, and M. Weidner (2025) A Neyman-orthogonalization approach to the incidental parameter problem self0.8558362%
3Robins, J. M., L. Li, E. T. Tchetgen, and A. van der Vaart (2008) Higher order influence functions and minimax estimation of nonlinear functionals0.73732100%
4van der Vaart, A (2014) Higher order tangent spaces and influence functions0.73732100%
5Kline, P., E. K. Rose, and C. R. Walters (2022) Systemic discrimination among large U.S. employers0.64422100%
6Newey, W. K (1994) The asymptotic variance of semiparametric estimators self0.64422100%
7Neyman, J. and E. L. Scott (1948) Consistent estimates based on partially consistent observations0.64422100%
8Mackey, L., V. Syrgkanis, and I. Zadik (2018) Orthogonal machine learning: Power and limitations0.51121100%
9Angrist, J. D. and B. Frandsen (2022) Machine labor0.40511100%
10Belloni, A., V. Chernozhukov, and C. Hansen (2014) Inference on treatment effects after selection among high-dimensional controls0.40511100%

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

Citing paperIntensityMentionsSections
1Stabilized Higher-Order Influence Functions: Statistical Theory of a Class of Bilinear Forms0.64422
2Higher-Order Debiased Estimators for General Treatment Models0.40511
3Asymmetries in Peer Effects10pt10pt We are grateful to Vincent Boucher for helpful comments and discussions. We acknowledge financial support from the Social Sciences and Humanities Research Council (SSHRC) under Grant CH150174. This research uses data from Add Health, a program directed by Kathleen Mullan Harris and designed by J. Richard Udry, Peter S. Bearman, and Kathleen Mullan Harris. Special acknowledgment is given to Ronald R. Rindfuss and Barbara Entwisle for assistance in the original design. Information on how to obtain Add Health data files is available on the Add Health website. \ Email addresses: mailto:[email removed]@ecn.ulaval.ca (A. Houndetoungan), mailto:[email removed]@univ-rennes.fr (M. Lambotte) \ An R package, including all replication codes, is available at: https://github.com/MathieuLambotte/AsyPeer0.40511