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Identification of time-varying counterfactual parameters in nonlinear panel models

Irene Botosaru, Chris Muris

arXiv 18 Dec 2022 · Econometrics · publishedJournal of Econometrics (2024) · 2 citations (OpenAlex)

arXiv:2212.09193 · PDF · DOI · OpenAlex · Extracted main text

Abstract

We develop a general framework for the identification of counterfactual parameters in a class of nonlinear semiparametric panel models with fixed effects and time effects. Our method applies to models for discrete outcomes (e.g., two-way fixed effects binary choice) or continuous outcomes (e.g., censored regression), with discrete or continuous regressors. Our results do not require parametric assumptions on the error terms or time-homogeneity on the outcome equation. Our main results focus on static models, with a set of results applying to models without any exogeneity conditions. We show that the survival distribution of counterfactual outcomes is identified (point or partial) in this class of models. This parameter is a building block for most partial and marginal effects of interest in applied practice that are based on the average structural function as defined by Blundell and Powell (2003, 2004). To the best of our knowledge, ours are the first results on average partial and marginal effects for binary choice and ordered choice models with two-way fixed effects and non-logistic errors.

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67
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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., I. Fernández-Val, S. Hoderlein, H. Holzmann, and W… (2015) Nonparametric Identification in Panels Using Quantiles0.9285380%
2Honoré, B (1992) Trimmed LAD and Least Squares Estimation of Truncated and Censored Regression Models with Fixed Effects0.84333100%
3Hoderlein, S. and H. White (2012) Nonparametric Identification in Nonseparable Panel Data Models with Generalized Fixed Effects0.81142100%
4Chernozhukov, V., I. Fernández-Val, J. Hahn, and W. K. Newey (2013) Average and Quantile Effects in Nonseparable Panel Models0.79414550%
5Botosaru, I., C. Muris, and K. Pendakur (2021) Identification of Time-Varying Transformation Models with Fixed Effects, with an Application to Unobserved Heterogeneity in Reso… self0.73732100%
6Blundell, R. W. and J. L. Powell (2003) Endogeneity in Nonparametric and Semiparametric Regression Models0.64422100%
7Blundell, R. W. and J. L. Powell (2004) Endogeneity in Semiparametric Binary Response Models0.64422100%
8Botosaru, I. and C. Muris (2017) Binarization for Panel Models with Fixed Effects self0.64422100%
9Botosaru, I., C. Muris, and S. Sokullu (2022) Partial Effects in Time-Varying Linear Transformation Panel Models with Endogeneity self0.64422100%
10Chen, S., S. Khan, and X. Tang (2019) Exclusion Restrictions in Dynamic Binary Choice Panel Data Models: Comment on Semiparametric Binary Choice Panel Data Models Wit…0.64422100%

Showing the top 10 of 67 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 and Estimation of Partial Effects in Nonlinear Semiparametric Panel Models0.73732
2Identification of Average Marginal Effects in Fixed Effects Dynamic Discrete Choice Models0.64441
3An Adversarial Approach to Identification0.64422
4Identification in Nonlinear Dynamic Panel Models under Partial Stationarity0.51121
5Identification and Estimation of Average Causal Effects in Fixed Effects Logit Models0.40511
6Evaluating the Impact of Regulatory Policies on Social Welfare in Difference-in-difference Settings0.40511
7Bounds on Average Effects in Discrete Choice Panel Data Models0.40511
8Bootstrap Inference in Nonlinear Panel Data Models with Interactive Fixed Effects0.40511