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Global identification of dynamic panel models with interactive effects

Jushan Bai, Pablo Mones

arXiv 19 Apr 2025 · Econometrics

arXiv:2504.14354 · PDF · Extracted main text

Abstract

This paper examines the problem of global identification in dynamic panel models with interactive effects, a fundamental issue in econometric theory. We focus on the setting where the number of cross-sectional units (N) is large, but the time dimension (T) remains fixed. While local identification based on the Jacobian matrix is well understood and relatively straightforward to establish, achieving global identification remains a significant challenge. Under a set of mild and easily satisfied conditions, we demonstrate that the parameters of the model are globally identified, ensuring that no two distinct parameter values generate the same probability distribution of the observed data. Our findings contribute to the broader literature on identification in panel data models and have important implications for empirical research that relies on interactive effects.

Citation extraction

26
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53
in-text mentions
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distinct cited
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main-text words

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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
1Hayakawa, K., Pesaran, M. H., and Smith, L. V (2023) Short t dynamic panel data models with individual, time and interactive effects1.000103100%
2Anderson, T. and Rubin, H (1956) Statistical inference in factor analysis1.00096100%
3Arellano, M. and Bond, S (1991) Some tests of specification for panel data: Monte carlo evidence and an application to employment equations0.73732100%
4Blundell, R. and Bond, S (1998) Initial conditions and moment restrictions in dynamic panel data models0.73732100%
5Sentana, E (2024) Finite underidentification0.64422100%
6Bai, J (2024) Likelihood approach to dynamic panel models with interactive effects self0.58531100%
7Ahn, S. C., Lee, Y. H., and Schmidt, P (2013) Panel data models with multiple time-varying individual effects0.51121100%
8Pesaran, M. H (2006) Estimation and inference in large heterogeneous panels with a multifactor error structure0.51121100%
9Williams, B (2020) Identification of the linear factor model0.51121100%
10Ahn, S. C., Lee, Y. H., and Schmidt, P (2001) Gmm estimation of linear panel data models with time-varying individual effects0.40511100%

Showing the top 10 of 26 scored citations.