Publication Type
Journal Article
Version
submittedVersion
Publication Date
3-2016
Abstract
In this paper we consider estimation and inference of common breaks in panel data models via adaptive group fused Lasso. We consider two approaches—penalized least squares (PLS) for first-differenced models without endogenous regressors, and penalized GMM (PGMM) for first-differenced models with endogeneity. We show that with probability tending to one, both methods can correctly determine the unknown number of breaks and estimate the common break dates consistently. We establish the asymptotic distributions of the Lasso estimators of the regression coefficients and their post Lasso versions. We also propose and validate a data-driven method to determine the tuning parameter used in the Lasso procedure. Monte Carlo simulations demonstrate that both the PLS and PGMM estimation methods work well in finite samples. We apply our PGMM method to study the effect of foreign direct investment (FDI) on economic growth using a panel of 88 countries and regions from 1973 to 2012 and find multiple breaks in the model.
Keywords
Adaptive Lasso, Change point, Group fused Lasso, Panel data, Penalized least squares, Penalized GMM, Structural change
Discipline
Econometrics
Research Areas
Econometrics
Publication
Journal of Econometrics
Volume
191
Issue
1
First Page
86
Last Page
109
ISSN
0304-4076
Identifier
10.1016/j.jeconom.2015.09.004
Publisher
Elsevier
Citation
QIAN, Junhui and SU, Liangjun.
Shrinkage estimation of common breaks in panel data models via adaptive group fused Lasso. (2016). Journal of Econometrics. 191, (1), 86-109.
Available at: https://ink.library.smu.edu.sg/soe_research/1745
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.2015.09.004
Comments
Working Paper No. 07-2015