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Fixed Effect Estimation of Large T Panel Data Models

Iván Fernández-Val, Martin Weidner

arXiv 26 Sep 2017 · Econometrics · publishedAnnual Review of Economics (2018) · 89 citations (OpenAlex)

arXiv:1709.08980 · PDF · DOI · OpenAlex · Extracted main text

Abstract

This article reviews recent advances in fixed effect estimation of panel data models for long panels, where the number of time periods is relatively large. We focus on semiparametric models with unobserved individual and time effects, where the distribution of the outcome variable conditional on covariates and unobserved effects is specified parametrically, while the distribution of the unobserved effects is left unrestricted. Compared to existing reviews on long panels (Arellano and Hahn 2007; a section in Arellano and Bonhomme 2011) we discuss models with both individual and time effects, split-panel Jackknife bias corrections, unbalanced panels, distribution and quantile effects, and other extensions. Understanding and correcting the incidental parameter bias caused by the estimation of many fixed effects is our main focus, and the unifying theme is that the order of this bias is given by the simple formula p/n for all models discussed, with p the number of estimated parameters and n the total sample size.

Citation extraction

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appendix boundary found by appendix_titled_section at “APPENDIX: BIAS DERIVATION FOR PANEL MODELS” · 78% 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
1Arellano M, Hahn J (2007) Understanding bias in nonlinear panel models: Some recent developments1.00053100%
2Dhaene G, Jochmans K (2015) b1.00053100%
3Fernández-Val I, Weidner M (2016) Individual and time effects in nonlinear panel models with large n, t0.84310290%
4Neyman J, Scott E (1948) Consistent estimates based on partially consistent observations0.84333100%
5Nickell SJ (1981) Biases in dynamic models with fixed effects0.84333100%
6Hahn J, Kuersteiner G (2002) Asymptotically unbiased inference for a dynamic panel model with fixed effects when both n and T are large0.81142100%
7Hahn J, Newey W (2004) Jackknife and analytical bias reduction for nonlinear panel models0.81142100%
8Cruz-Gonzalez M, Fernandez-Val I, Weidner M (2017) Bias corrections for probit and logit models with two-way fixed effects0.81142100%
9Fernández-Val I (2009) Fixed effects estimation of structural parameters and marginal effects in panel probit models0.73732100%
10Hahn J, Kuersteiner G (2011) Bias reduction for dynamic nonlinear panel models with fixed effects0.73732100%

Showing the top 10 of 119 scored citations.

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1State Dependence and Unobserved Heterogeneity in the Extensive Margin of Trade1.000144
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3Fixed Effects Binary Choice Models: Estimation and Inference with Long Panels1.00083
4(Debiased) Inference for Fixed Effects Estimators with Three-Dimensional Panel and Network Data0.92843
5Debiased Fixed Effects Estimation of Binary Logit Models with Three-Dimensional Panel Data0.87472
6Nonlinear Factor Models for Network and Panel Data0.84344
7Jackknife Inference for Fixed Effects Models0.64422
8Bootstrap Inference in Nonlinear Panel Data Models with Interactive Fixed Effects0.51122
9Dynamic Heterogeneous Distribution Regression Panel Models, with an Application to Labor Income Processes$^*$0.40511
10Causal Models for Longitudinal and Panel Data: A Survey0.40511