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Testing Stationarity for Unobserved Components Models

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Author Info

  • James Morley

    ()
    (School of Economics, The University of New South Wales)

  • Irina B. Panovska

    (Washington University in St. Louis)

  • Tara M. Sinclair

    ()
    (the George Washington University)

Abstract

Unobserved components (UC) models are widely used to estimate stochastic trends in macroeconomic time series, with the existence of a stochastic trend typically motivated by a stationarity test. However, given the small sample sizes available for most macroeconomic variables, standard Lagrange multiplier tests of stationarity will perform poorly when the data are highly persistent. To address this problem, we propose the alternative use of a likelihood ratio test of stationarity based on a UC model and demonstrate that a bootstrap version of this test has far better small-sample properties for empirically-relevant data generating processes than bootstrap versions of the standard tests. An application to U.S. real GDP produces stronger support for the presence of large permanent shocks when using the likelihood ratio test as compared to standard tests.

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File URL: http://research.economics.unsw.edu.au/RePEc/papers/2012-41.pdf
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Bibliographic Info

Paper provided by School of Economics, The University of New South Wales in its series Discussion Papers with number 2012-41A.

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Length: 30 pages
Date of creation: May 2013
Date of revision:
Handle: RePEc:swe:wpaper:2012-41a

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References

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  1. Perron, P, 1988. "The Great Crash, The Oil Price Shock And The Unit Root Hypothesis," Papers 338, Princeton, Department of Economics - Econometric Research Program.
  2. Mitra, Sinchan & Sinclair, Tara M., 2012. "Output Fluctuations In The G-7: An Unobserved Components Approach," Macroeconomic Dynamics, Cambridge University Press, vol. 16(03), pages 396-422, June.
  3. T. Berger & G. Everaert, 2007. "Labour Taxes and Unemployment Evidence from a Panel Unobserved Component Model," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 07/478, Ghent University, Faculty of Economics and Business Administration.
  4. Philip Rothman, . "More Uncertainty About the Unit Root in U.S. Real GNP," Working Papers 9616, East Carolina University, Department of Economics.
  5. Caner, Mehmet & Kilian, Lutz, 2000. "Size Distortions Of Tests Of The Null Hypothesis Of Stationarity: Evidence And Implications For The PPP Debate," CEPR Discussion Papers 2425, C.E.P.R. Discussion Papers.
  6. Tara M. Sinclair, 2009. "The Relationships between Permanent and Transitory Movements in U.S. Output and the Unemployment Rate," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 41(2-3), pages 529-542, 03.
  7. Arabinda Basistha, 2005. "Trend-Cycle Correlation, Drift Break and the Estimation of Trend and Cycle in Canadian GDP," Working Papers 05-07 Classification- JEL, Department of Economics, West Virginia University.
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  9. Senyuz, Zeynep, 2009. "Factor Analysis of Permanent and Transitory Dynamics of the U.S. Economy and the Stock Market," MPRA Paper 26855, University Library of Munich, Germany, revised Mar 2010.
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  14. Gospodinov, Nikolay, 2002. "Bootstrap-Based Inference in Models with a Nearly Noninvertible Moving Average Component," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(2), pages 254-68, April.
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  17. Bailey, R.W. & Taylor, A.M.R., 2000. "An Optimal Test against a Random Walk Component in a Non-Orthogonal Unobserved Components Model," Discussion Papers 00-09, Department of Economics, University of Birmingham.
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  19. James C. Morley, 2007. "The Slow Adjustment of Aggregate Consumption to Permanent Income," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(2-3), pages 615-638, 03.
  20. Kuttner, Kenneth N, 1994. "Estimating Potential Output as a Latent Variable," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(3), pages 361-68, July.
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Cited by:
  1. Michael D. Bradley & Dennis W. Jansen & Tara M. Sinclair, 2013. "How Well Does "Core" Inflation Capture Permanent Price Changes?," CAMA Working Papers 2013-26, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.

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