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Indirect Inference for Nonlinear Panel Models with Fixed Effects

Shuowen Chen

arXiv 21 Mar 2022 · Econometrics

arXiv:2203.10683 · PDF · DOI · OpenAlex · Extracted main text

Abstract

Fixed effect estimators of nonlinear panel data models suffer from the incidental parameter problem. This leads to two undesirable consequences in applied research: (1) point estimates are subject to large biases, and (2) confidence intervals have incorrect coverages. This paper proposes a simulation-based method for bias reduction. The method simulates data using the model with estimated individual effects, and finds values of parameters by equating fixed effect estimates obtained from observed and simulated data. The asymptotic framework provides consistency, bias correction, and asymptotic normality results. An application and simulations to female labor force participation illustrates the finite-sample performance of the method.

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55
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124
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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
1Dhaene, G. and K. Jochmans (2015) Split–Panel Jackknife Estimation of Fixed-effect Models0.9568588%
2Hahn, J. and W. Newey (2004) Jackknife and Analytical Bias Reduction for Nonlinear Panel Models0.9568488%
3Fernández-Val, I (2009) Fixed Effects Estimation of Structural Parameters and Marginal Effects in Panel Probit Models0.9416583%
4Gouriéroux, C., A. Monfort, and E. Renault (1993) Indirect Inference0.9209378%
5Collard-Wexler, A (2013) Demand Fluctuations in the Ready-Mix Concrete Industry0.84333100%
6Andrews, D. W (1994) Empirical Process Methods in Econometrics, in0.8229456%
7Newey, W. K. and D. McFadden (1994) Large Sample Estimation and Hypothesis Testing, in0.81142100%
8Hahn, J. and G. Kuersteiner (2011) Bias Reduction for Dynamic Nonlinear Panel Models with Fixed Effects0.79414550%
9Newey, W. K (1991) Uniform Convergence in Probability and Stochastic Equicontinuity0.7374350%
10van der Vaart, A. W. and J. A. Wellner (1996) Weak Convergence and Empirical Processes: With Applications to Statistics0.7373367%

Showing the top 10 of 55 scored citations.