EconBase
← All papers

Moment Restrictions for Nonlinear Panel Data Models with Feedback

Stéphane Bonhomme, Kevin Dano, Bryan S. Graham

arXiv 14 Jun 2025 · Econometrics · 1 citations (OpenAlex)

arXiv:2506.12569 · PDF · DOI · OpenAlex · Extracted main text

Abstract

Many panel data methods, while allowing for general dependence between covariates and time-invariant agent-specific heterogeneity, place strong a priori restrictions on feedback: how past outcomes, covariates, and heterogeneity map into future covariate levels. Ruling out feedback entirely, as often occurs in practice, is unattractive in many dynamic economic settings. We provide a general characterization of all feedback and heterogeneity robust (FHR) moment conditions for nonlinear panel data models and present constructive methods to derive feasible moment-based estimators for specific models. We also use our moment characterization to compute semiparametric efficiency bounds, allowing for a quantification of the information loss associated with accommodating feedback, as well as providing insight into how to construct estimators with good efficiency properties in practice. Our results apply both to the finite dimensional parameter indexing the parametric part of the model as well as to estimands that involve averages over the distribution of unobserved heterogeneity. We illustrate our methods by providing a complete characterization of all FHR moment functions in the multi-spell mixed proportional hazards model. We compute efficient moment functions for both model parameters and average effects in this setting.

Citation extraction

71
references
153
in-text mentions
71
distinct cited
6
self-citations
18,187
main-text words

appendix boundary found by appendix_command · 49% 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
1Chamberlain, G (1992) Comment: sequential moment restrictions in panel data1.00064100%
2Chamberlain, G (2022) Feedback in panel data models1.00064100%
3Bonhomme, S., Dano, K., and Graham, B. S (2023) Identification in a binary choice panel data model with a predetermined covariate self1.00063100%
4Wooldridge, J. M (1997) Multiplicative panel data models without the strict exogeneity assumption1.00054100%
5Newey, W. K (1990) Semiparametric efficiency bounds0.9416383%
6Bonhomme, S (2012) Functional differencing self0.92843100%
7Hahn, J (1994) The efficiency bound of the mixed proportional hazard model0.84315660%
8Arellano, M. and Bover, O (1995) Another look at the instrumental variable estimation of error-components models0.81142100%
9Arellano, M. and Honoré, B (2001) Panel data models: some recent developments0.81142100%
10Brown, B. W. and Newey, W. K (1998) Efficient semiparametric estimation of expectations0.81142100%

Showing the top 10 of 71 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
1Back to Feedback Dynamics and Heterogeneity in Panel Data0.87452
2Sufficient Statistics for Markovian Feedback Process and Unobserved Heterogeneity in Dynamic Panel Logit Models0.73732
3Estimating Individual Responses when Tomorrow Matters0.40511
4Identification and estimation of dynamic random coefficient models0.40511
5Binary choice logit models with general fixed effects for panel and network data0.40511
6Tractable Identification of Strategic Network Formation Models with Unobserved Heterogeneity0.40511
7The Projection Solution to the Incidental Parameter Problem0.40511