Panel Cointegration with Global Stochastic Trends - Mathematics > Statistics TheoryReport as inadecuate

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Abstract: This paper studies estimation of panel cointegration models withcross-sectional dependence generated by unobserved global stochastic trends.The standard least squares estimator is, in general, inconsistent owing to thespuriousness induced by the unobservable I1 trends. We propose two iterativeprocedures that jointly estimate the slope parameters and the stochastictrends. The resulting estimators are referred to respectively as CupBCcontinuously-updated and bias-corrected and the CupFM continuously-updatedand fully-modified estimators. We establish their consistency and derive theirlimiting distributions. Both are asymptotically unbiased and asymptoticallymixed normal and permit inference to be conducted using standard teststatistics. The estimators are also valid when there are mixed stationary andnon-stationary factors, as well as when the factors are all stationary.

Author: Jushan Bai, Chihwa Kao, Serena Ng



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