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Higher-Order Neyman Orthogonality in Moment-Condition Models

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

No 26-1793, TSE Working Papers from Toulouse School of Economics (TSE)

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: 2026-10-19
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