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Identification of Nonlinear Dynamic Panels under Partial Stationarity

Wayne Yuan Gao, Rui Wang

arXiv 30 Dec 2023 · Econometrics · publishedJournal of Econometrics (2026)

arXiv:2401.00264 · PDF · DOI · OpenAlex · Extracted main text

Abstract

This paper provides a general identification approach for a wide range of nonlinear panel data models, including binary choice, ordered response, and other types of limited dependent variable models. Our approach accommodates dynamic models with any number of lagged dependent variables as well as other types of endogenous covariates. Our identification strategy relies on a partial stationarity condition, which allows for not only an unknown distribution of errors, but also temporal dependencies in errors. We derive partial identification results under flexible model specifications and establish sharpness of our identified set in the binary choice setting. We demonstrate the robust finite-sample performance of our approach using Monte Carlo simulations, and apply the approach to analyze the empirical application of income categories using various ordered choice models.

Citation extraction

33
references
67
in-text mentions
33
distinct cited
2
self-citations
16,658
main-text words

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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
1Pakes, A. and J. Porter (2024) Moment inequalities for multinomial choice with fixed effects1.000123100%
2Manski, C. F (1987) Semiparametric analysis of random effects linear models from binary panel data0.9209378%
3Chernozhukov, V., S. Lee, and A. M. Rosen (2013) Intersection bounds: estimation and inference0.81142100%
4Mbakop, E (2023) Identification in Some Discrete Choice Models: A Computational Approach0.73732100%
5Chesher, A. and A. M. Rosen (2017) Generalized instrumental variable models0.64441100%
6Khan, S., M. Ponomareva, and E. Tamer (2023) Identification of dynamic binary response models0.64422100%
7Aristodemou, E (2021) Semiparametric identification in panel data discrete response models0.51121100%
8Botosaru, I. and C. Muris (2024) Identification of time-varying counterfactual parameters in nonlinear panel models0.51121100%
9Chesher, A., A. Rosen, and Y. Zhang (2023) Identification analysis in models with unrestricted latent variables: Fixed effects and initial conditions, Tech0.51121100%
10Shi, X., M. Shum, and W. Song (2018) Estimating Semi-Parametric Panel Multinomial Choice Models Using Cyclic Monotonicity0.51121100%

Showing the top 10 of 33 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
1Identification of Semiparametric Panel Multinomial Choice Models with Infinite-Dimensional Fixed Effects0.84333
2An Adversarial Approach to Identification0.40511
3Sufficient Statistics for Markovian Feedback Process and Unobserved Heterogeneity in Dynamic Panel Logit Models0.40511
4The Projection Solution to the Incidental Parameter Problem0.40511