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TOPIC: NONSTATIONARY PANEL MODEL WITH LATENT GROUP STRUCTURES AND CROSS-SECTIONAL DEPENDENCE
ABSTRACT
This article proposes a novel approach, based on Lasso, to handle unobserved heterogeneity in nonstationary panel model with cross-sectional dependence. We employ the penalized principal component (PPC, hereafter) estimation method to jointly estimate the group-specic long-run relations, unobserved common factors and identify individuals' membership. We obtain three types of estimators- C-Lasso, post-Lasso and Cup-Lasso estimators by iteratively performing the PPC-based method. In post-Lasso and Cup-Lasso estimators, we apply the fully modied procedure for bias-correction. Taken together, our estimators achieve the oracle property so that the group-specic coefficients can be estimated as well as if the individuals' membership were known. We establish the convergence rates and limiting distributions of the C-Lasso, post-Lasso and the Cup-Lasso estimators, which are normal and permit inference using standard test statistics. An empirical example is presented based on growth convergence puzzle through the channel of global technology diffusions. It empirically confirms the multiple steady states of growth convergence.
Keywords:Nonstationary; Parameter heterogeneity; Latent group patterns; Penalized principal component; Cross-sectional dependence; Lasso; Growth convergence puzzle