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Identification and Estimation of a Large Factor Model with Structural Instability

Badi Baltagi (), Chihwa Kao () and Fa Wang
Additional contact information
Fa Wang: Shanghai University of Finance and Economics

No 2016-34, Working papers from University of Connecticut, Department of Economics

Abstract: This paper tackles the identi cation and estimation of a high dimensional factor model with unknown number of latent factors and a single break in the number of factors and/or factor loadings occurring at unknown common date. First, we propose a least squares estimator of the change point based on the second moments of estimated pseudo factors and show that the estimation error of the proposed estimator is Op(1). We also show that the proposed estimator has some degree of robustness to misspeci cation of the number of pseudo fac-tors. With the estimated change point plugged in, consistency of the estimated number of pre and post-break factors and convergence rate of the estimated pre and post-break factor space are then established under fairly general assump-tions. The nite sample performance of our estimators is investigated using Monte Carlo experiments. JEL Classification: C13; C33 Key words: high dimensional factor model, structural change, rate of con-vergence, number of factors, model selection, factor space, panel data

New Economics Papers: this item is included in nep-ecm
Date: 2016-10
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Related works:
Journal Article: Identification and estimation of a large factor model with structural instability (2017) Downloads
Working Paper: The Identification and Estimation of a Large Factor Model with Structural Instability (2016) Downloads
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