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Bootstrap Inference in Nonlinear Panel Data Models with Interactive Fixed Effects

Haoyuan Xu, Wei Miao, Geert Dhaene, Jad Beyhum

arXiv 29 Apr 2026 · Econometrics

arXiv:2604.26826 · PDF · DOI · OpenAlex · Extracted main text

Abstract

The maximum likelihood estimator in nonlinear panel data models with interactive fixed effects is biased. Several bias correction methods, such as analytical and jackknife approaches, have been proposed to enable valid inference. This paper shows that the parametric bootstrap also enables valid inference in such models. In particular, we show that the parametric bootstrap replicates the asymptotic distribution of the maximum likelihood estimator. Therefore, it yields asymptotically unbiased estimates and confidence sets with asymptotically correct coverage. We also propose a transformation-based bootstrap confidence interval that delivers improved finite-sample performance. Simulation results support the theoretical findings. Finally, we apply the proposed method to examine technological and product market spillover effects on firms' innovation behavior.

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66
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202
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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
1Zeleneev, Andrei and Zhang, Weisheng (2026) Tractable Estimation of Nonlinear Panels with Interactive Fixed Effects1.000165100%
2Gao, Jun and Liu, Fei and Peng, Bin and Yan, Ying (2023) Binary response models for heterogeneous panel data with interactive fixed effects1.00074100%
3Bai, Jushan (2009) Panel Data Models with Interactive Fixed Effects1.00063100%
4Higgins, Adam and Jochmans, Koen (2024) Bootstrap Inference for Fixed-Effect Models0.95315487%
5Hahn, Jinyong and Kuersteiner, Guido (2011) Bias Reduction for Dynamic Nonlinear Panel Models with Fixed Effects0.84333100%
6Hahn, Jinyong and Newey, Whitney K (2004) Jackknife and Analytical Bias Reduction for Nonlinear Panel Models0.84333100%
7Ahn, Seung C and Horenstein, Alex R (2013) Eigenvalue ratio test for the number of factors0.84333100%
8Chen, Meng and Fernández-Val, Iván and Weidner, Martin (2021) Nonlinear factor models for network and panel data0.83028857%
9Fernández-Val, Iván and Weidner, Martin (2016) Individual and time effects in nonlinear panel models with large N, T0.76538645%
10Moon, Hyungsik Roger and Weidner, Martin (2015) Linear Regression for Panel with Unknown Number of Factors as Interactive Fixed Effects0.73732100%

Showing the top 10 of 66 scored citations.