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Threshold Regression in Heterogeneous Panel Data with Interactive Fixed Effects

Marco Barassi, Yiannis Karavias, Chongxian Zhu

arXiv 8 Aug 2023 · Econometrics · publishedOxford Bulletin of Economics and Statistics (2026)

arXiv:2308.04057 · PDF · DOI · OpenAlex · Extracted main text

Abstract

This paper introduces unit-specific heterogeneity in panel data threshold regression. We develop a comprehensive asymptotic theory for models with heterogeneous thresholds, heterogeneous slope coefficients, and interactive fixed effects. Our estimation methodology employs the Common Correlated Effects approach, which is able to handle heterogeneous coefficients while maintaining computational simplicity. We also propose a semi-homogeneous model with heterogeneous slopes but a common threshold, revealing novel mean group estimator convergence rates due to the interaction of heterogeneity with the shrinking threshold assumption. Tests for linearity are provided, and also a modified information criterion which can choose between the fully heterogeneous and the semi-homogeneous models. Monte Carlo simulations demonstrate the good performance of the new methods in small samples. The new theory is applied to examine the Feldstein-Horioka puzzle and it is found that threshold nonlinearity with respect to trade openness exists only in a small subset of countries.

Citation extraction

39
references
106
in-text mentions
40
distinct cited
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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
1Pesaran, M Hashem (2006) Estimation and inference in large heterogeneous panels with a multifactor error structure1.000135100%
2Hansen, Bruce E (2000) Sample splitting and threshold estimation1.00093100%
3Miao, Ke and Li, Kunpeng and Su, Liangjun (2020) Panel threshold models with interactive fixed effects1.00075100%
4Chudik, Alexander and Mohaddes, Kamiar and Pesaran, M Hashem and Rai… (2017) Is there a debt-threshold effect on output growth?1.00053100%
5De Vos, Ignace and Stauskas, Ovidijus (2024) Cross-section bootstrap for CCE regressions0.92843100%
6Feldstein, Martin and Horioka, Charles (1980) Domestic saving and international capital flows0.874112100%
7Hacio glu Hoke, Sinem and Kapetanios, George (2021) Common correlated effect cross-sectional dependence corrections for nonlinear conditional mean panel models0.87462100%
8Xun Lu and Liangjun Su (2023) Uniform inference in linear panel data models with two-dimensional heterogeneity0.81142100%
9A. Juodis and Y. Karavias and V. Sarafidis (2021) A homogeneous approach to testing for Granger non-causality in heterogeneous panels self0.73732100%
10Jan Ditzen and Yiannis Karavias (2025) Interactive, Grouped and Non-separable Fixed Effects: A Practitioner’s Guide to the New Panel Data Econometrics self0.64422100%

Showing the top 10 of 40 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
1Inference on many jumps in nonparametric panel regression models0.64422
2Interactive, Grouped and Non-separable Fixed Effects: A Practitioner's Guide to the New Panel Data Econometrics0.51122