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The empirical process of autoregressive residuals

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  • E ric E ngler
  • B ent N ielsen

Abstract

Asymptotic theory is developed for the residual empirical process of autoregressive distributed lag models with an intercept and possibly other deterministic terms. The asymptotic distribution is shown not to depend on the location of characteristic roots. This contrasts to situations without intercept where unit roots give rise to non-standard distributions. This is important in applications, as the question of the innovation distribution can be addressed without knowledge of the characteristic roots. Copyright � 2009 The Author(s). Journal compilation � Royal Economic Society 2009

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Bibliographic Info

Article provided by Royal Economic Society in its journal Econometrics Journal.

Volume (Year): 12 (2009)
Issue (Month): 2 (07)
Pages: 367-381

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Handle: RePEc:ect:emjrnl:v:12:y:2009:i:2:p:367-381

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References

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  1. Bent Nielsen, 2003. "Correlograms for non-stationary autoregressions," Economics Papers 2003-W11, Economics Group, Nuffield College, University of Oxford.
  2. Johansen, S ren, 2000. "A Bartlett Correction Factor For Tests On The Cointegrating Relations," Econometric Theory, Cambridge University Press, vol. 16(05), pages 740-778, October.
  3. Nielsen, B., 1995. "Bartlett Correction of the Unit Root test in Autoregressive Models," Economics Papers 98, Economics Group, Nuffield College, University of Oxford.
  4. Bent Nielsen, 2001. "Order determination in general vector autoregressions," Economics Series Working Papers 2001-W10, University of Oxford, Department of Economics.
  5. Kilian, Lutz & Demiroglu, Ufuk, 2000. "Residual-Based Tests for Normality in Autoregressions: Asymptotic Theory and Simulation Evidence," Journal of Business & Economic Statistics, American Statistical Association, vol. 18(1), pages 40-50, January.
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Cited by:
  1. Zorica Mladenovic & Bent Nielsen, 2009. "The role of income in money demand during hyper-inflation: the case of Yugoslavia," Economics Papers 2009-W02, Economics Group, Nuffield College, University of Oxford.
  2. Cizek, P., 2010. "Reweighted Least Trimmed Squares: An Alternative to One-Step Estimators," Discussion Paper 2010-91, Tilburg University, Center for Economic Research.
  3. Søren Johansen & Bent Nielsen, 2013. "Asymptotic analysis of the Forward Search," CREATES Research Papers 2013-05, School of Economics and Management, University of Aarhus.
  4. B. Nielsen, 2009. "Test for cointegration rank in general vector autoregressions," Economics Papers 2009-W10, Economics Group, Nuffield College, University of Oxford.
  5. Mladenovic, Zorica & Petrovic, Pavle, 2010. "Cagan's paradox and money demand in hyperinflation: Revisited at daily frequency," Journal of International Money and Finance, Elsevier, vol. 29(7), pages 1369-1384, November.
  6. Søren Johansen & Bent Nielsen, 2010. "Discussion of The Forward Search: Theory and Data Analysis by Anthony C. Atkinson, Marco Riani, and Andrea Ceroli," Economics Papers 2010-W02, Economics Group, Nuffield College, University of Oxford.
  7. Bent Nielsen & Andrew Whitby, 2012. "A Joint Chow Test for Structural Instability," Economics Papers 2012-W07, Economics Group, Nuffield College, University of Oxford.
  8. Nielsen, Bent, 2008. "On the Explosive Nature of Hyper-Inflation Data," Economics - The Open-Access, Open-Assessment E-Journal, Kiel Institute for the World Economy, vol. 2(21), pages 1-29.
  9. Cízek, Pavel, 2011. "Semiparametrically weighted robust estimation of regression models," Computational Statistics & Data Analysis, Elsevier, vol. 55(1), pages 774-788, January.
  10. Cavaliere, Giuseppe & Georgiev, Iliyan, 2013. "Exploiting Infinite Variance Through Dummy Variables In Nonstationary Autoregressions," Econometric Theory, Cambridge University Press, vol. 29(06), pages 1162-1195, December.

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