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“GLS based unit root tests for bounded processes”

  • Josep Lluís Carrion-i-Silvestre

    ()

    (Faculty of Economics, University of Barcelona)

  • María Dolores Gadea

    ()

    (Department of Applied Economics, University of Zaragoza)

We show that the use of generalized least squares (GLS) detrending procedures leads to important empirical power gains compared to ordinary least squares (OLS) detrend- ing method when testing the null hypothesis of unit root for bounded processes. The non-centrality parameter that is used in the GLS-detrending depends on the bounds, so that improvements on the statistical inference are to be expected if a case-specific parameter is used. This initial hypothesis is supported by the simulation experiment that has been conducted.

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File URL: http://www.ub.edu/irea/working_papers/2013/201304.pdf
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Paper provided by University of Barcelona, Research Institute of Applied Economics in its series IREA Working Papers with number 201304.

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Length: 16 pages
Date of creation: Apr 2013
Date of revision: Apr 2013
Handle: RePEc:ira:wpaper:201304
Contact details of provider: Postal: Tinent Coronel Valenzuela, Num 1-11 08034 Barcelona
Web page: http://www.ub.edu/irea/

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  1. Elliott, Graham & Rothenberg, Thomas J & Stock, James H, 1996. "Efficient Tests for an Autoregressive Unit Root," Econometrica, Econometric Society, vol. 64(4), pages 813-36, July.
  2. Cavaliere, Giuseppe, 2005. "Limited Time Series With A Unit Root," Econometric Theory, Cambridge University Press, vol. 21(05), pages 907-945, October.
  3. Perron, Pierre & Qu, Zhongjun, 2007. "A simple modification to improve the finite sample properties of Ng and Perron's unit root tests," Economics Letters, Elsevier, vol. 94(1), pages 12-19, January.
  4. Schmidt, Peter & Phillips, C B Peter, 1992. "LM Tests for a Unit Root in the Presence of Deterministic Trends," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(3), pages 257-87, August.
  5. Cavaliere, Giuseppe & Xu, Fang, 2014. "Testing for unit roots in bounded time series," Journal of Econometrics, Elsevier, vol. 178(P2), pages 259-272.
  6. Perron, Pierre & Rodriguez, Gabriel, 2003. "GLS detrending, efficient unit root tests and structural change," Journal of Econometrics, Elsevier, vol. 115(1), pages 1-27, July.
  7. Newey, Whitney K & West, Kenneth D, 1994. "Automatic Lag Selection in Covariance Matrix Estimation," Review of Economic Studies, Wiley Blackwell, vol. 61(4), pages 631-53, October.
  8. Serena Ng & Pierre Perron, 2001. "LAG Length Selection and the Construction of Unit Root Tests with Good Size and Power," Econometrica, Econometric Society, vol. 69(6), pages 1519-1554, November.
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