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Strong Consistency Results For Least Squares Estimators In General Vector Autoregressions With Deterministic Terms

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  • Nielsen, Bent

Abstract

A vector autoregression with deterministic terms and with no restrictions to its characteristic roots is considered. Strong consistency results for the least squares statistics are presented. This extends earlier results where deterministic terms have not been considered. In addition the convergence rates are improved compared with earlier results.Comments from S. Johansen are gratefully acknowledged.

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  • Nielsen, Bent, 2005. "Strong Consistency Results For Least Squares Estimators In General Vector Autoregressions With Deterministic Terms," Econometric Theory, Cambridge University Press, vol. 21(3), pages 534-561, June.
  • Handle: RePEc:cup:etheor:v:21:y:2005:i:03:p:534-561_05
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    Cited by:

    1. Mohamad Kazem Shirani Faradonbeh & Ambuj Tewari & George Michailidis, 2017. "Finite Time Identification in Unstable Linear Systems," Papers 1710.01852, arXiv.org, revised Jun 2018.
    2. Nielsen, Bent, 2008. "On the Explosive Nature of Hyper-Inflation Data," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 2, pages 1-29.
    3. Bent Nielsen & J. James Reade, 2007. "Simulating Properties of the Likelihood Ratio Test for a Unit Root in an Explosive Second-Order Autoregression," Econometric Reviews, Taylor & Francis Journals, vol. 26(5), pages 487-501.
    4. Bent Nielsen & J. James Reade, 2007. "Simulating Properties of the Likelihood Ratio Test for a Unit Root in an Explosive Second-Order Autoregression," Econometric Reviews, Taylor & Francis Journals, vol. 26(5), pages 487-501.

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