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Higher-Order Neyman Orthogonality in Moment-Condition Models

Stéphane Bonhomme, Koen Jochmans, Whitney K. Newey and Martin Weidner
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Stéphane Bonhomme: Unknown
Koen Jochmans: TSE-R - Toulouse School of Economics - UT Capitole - Université Toulouse Capitole - Comue de Toulouse - Communauté d'universités et établissements de Toulouse - EHESS - École des hautes études en sciences sociales - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, UT Capitole - Université Toulouse Capitole - Comue de Toulouse - Communauté d'universités et établissements de Toulouse
Whitney K. Newey: Unknown
Martin Weidner: Unknown

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Abstract: We construct moment functions that are Neyman-orthogonal to a chosen order in parametric moment condition models involving nuisance parameters. These moment functions reduce sensitivity to estimation error in the nuisance parameters 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.

Keywords: Neyman-orthogonality; higher-order bias correction; moment conditions; GMM; U-statistics. (search for similar items in EconPapers)
Date: 2026-10-21
Note: View the original document on HAL open archive server: https://hal.science/hal-05829985v1
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