Publication Type
Journal Article
Version
submittedVersion
Publication Date
3-2024
Abstract
This paper considers a linear panel model with interactive fixed effects and unobserved individual and time heterogeneities that are captured by some latent group structures and an unknown structural break, respectively. To enhance realism, the model may have different numbers of groups and/or different group memberships before and after the break. With preliminary nuclear norm regularized estimation followed by row- and column-wise linear regressions, we estimate the break point based on the idea of binary segmentation and the latent group structures together with the number of groups before and after the break by sequential testing K-means algorithm simultaneously. It is shown that the break point, the number of groups and the group memberships can each be estimated correctly with probability approaching one. Asymptotic distributions of the estimators of the slope coefficients are established. Monte Carlo simulations demonstrate excellent finite sample performance for the proposed estimation algorithm. An empirical application to real house price data across 377 Metropolitan Statistical Areas in the US from 1975 to 2014 suggests the presence both of structural breaks and of changes in group membership.
Keywords
Interactive fixed effects, Latent group structure, Nuclear norm regularization, Sequential testing K-means algorithm, Structural break
Discipline
Econometrics
Research Areas
Econometrics
Publication
Journal of Econometrics
Volume
240
Issue
1
First Page
1
Last Page
24
ISSN
0304-4076
Identifier
10.1016/j.jeconom.2024.105685
Publisher
Elsevier: 24 months
Citation
WANG, Yiren; PHILLIPS, Peter C. B.; and SU, Liangjun.
Panel data models with time-varying latent group structures. (2024). Journal of Econometrics. 240, (1), 1-24.
Available at: https://ink.library.smu.edu.sg/soe_research/2730
Copyright Owner and License
Authors
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Additional URL
https://doi.org/10.1016/j.jeconom.2024.105685