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Truncated Product Methods for Panel Unit Root Tests

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Author Info

  • Xuguang Sheng

    ()
    (American University)

  • Jingyun Yang

    ()
    (Pennsylvania State University)

Abstract

This paper proposes three new panel unit root tests based on Zaykin et al. (2002)’s truncated product method. The first one assumes constant correlation between p-values and the latter two use sieve bootstrap that allows for general forms of cross-section dependence in the panel units. Monte Carlo simulation shows that these tests have reasonably good size, are robust to varying degrees of cross-section dependence and are powerful in cases where there are some very large p-values. The proposed tests are applied to a panel of real GDP and inflation density forecasts and provide evidence that professional forecasters may not update their forecast precision in an optimal Bayesian way.

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File URL: http://www.gwu.edu/~forcpgm/2013-004.pdf
File Function: First version, 2013
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Bibliographic Info

Paper provided by The George Washington University, Department of Economics, Research Program on Forecasting in its series Working Papers with number 2013-004.

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Length: 33 pages
Date of creation: Apr 2013
Date of revision:
Handle: RePEc:gwc:wpaper:2013-004

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Keywords: Density Forecast; Panel Unit Root; P-value; Sieve Bootstrap; Truncated Product Method;

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References

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  1. MOON, Hyungsik Roger & PERRON, Benoit., 2002. "Testing for a Unit Root in Panels with Dynamic Factors," Cahiers de recherche 2002-18, Universite de Montreal, Departement de sciences economiques.
  2. Choi, In, 2001. "Unit root tests for panel data," Journal of International Money and Finance, Elsevier, vol. 20(2), pages 249-272, April.
  3. Banerjee, A. & Marcellino, M. & Osbat, C., 2000. "Some Cautions on the Use of Panel Methods for Integrated Series of Macro-economic Data," Economics Working Papers eco2000/20, European University Institute.
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  7. Lahiri, Kajal & Sheng, Xuguang, 2008. "Evolution of forecast disagreement in a Bayesian learning model," Journal of Econometrics, Elsevier, vol. 144(2), pages 325-340, June.
  8. Joseph Engelberg & Charles F. Manski & Jared Williams, 2006. "Comparing the Point Predictions and Subjective Probability Distributions of Professional Forecasters," NBER Working Papers 11978, National Bureau of Economic Research, Inc.
  9. 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.
  10. Jushan Bai & Serena Ng, 2001. "A Panic Attack on Unit Roots and Cointegration," Economics Working Paper Archive 469, The Johns Hopkins University,Department of Economics.
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  13. Christian Gengenbach & Franz Palm & Jean-Pierre Urbain, 2010. "Panel Unit Root Tests in the Presence of Cross-Sectional Dependencies: Comparison and Implications for Modelling," Econometric Reviews, Taylor & Francis Journals, vol. 29(2), pages 111-145.
  14. Chang, Yoosoon, 2002. "Bootstrap Unit Root Tests in Panels with Cross-Sectional Dependency," Working Papers 2000-01, Rice University, Department of Economics.
  15. Karlsson, Sune & Lothgren, Mickael, 2000. "On the power and interpretation of panel unit root tests," Economics Letters, Elsevier, vol. 66(3), pages 249-255, March.
  16. M. Hashem Pesaran, 2007. "A simple panel unit root test in the presence of cross-section dependence," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(2), pages 265-312.
  17. Maddala, G S & Wu, Shaowen, 1999. " A Comparative Study of Unit Root Tests with Panel Data and a New Simple Test," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(0), pages 631-52, Special I.
  18. Matei Demetrescu & Uwe Hassler & Adina-Ioana Tarcolea, 2006. "Combining Significance of Correlated Statistics with Application to Panel Data," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 68(5), pages 647-663, October.
  19. Kelejian, Harry H & Prucha, Ingmar R, 1999. "A Generalized Moments Estimator for the Autoregressive Parameter in a Spatial Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(2), pages 509-33, May.
  20. Franz C. Palm & Stephan Smeekes & Jean-Pierre Urbain, 2008. "Bootstrap Unit-Root Tests: Comparison and Extensions," Journal of Time Series Analysis, Wiley Blackwell, vol. 29(2), pages 371-401, 03.
  21. Peter C. B. Phillips & Donggyu Sul, 2003. "Dynamic panel estimation and homogeneity testing under cross section dependence *," Econometrics Journal, Royal Economic Society, vol. 6(1), pages 217-259, 06.
  22. Cheung, Yin-Wong & Lai, Kon S, 1995. "Lag Order and Critical Values of the Augmented Dickey-Fuller Test," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(3), pages 277-80, July.
  23. Ng, Serena, 2008. "A Simple Test for Nonstationarity in Mixed Panels," Journal of Business & Economic Statistics, American Statistical Association, vol. 26, pages 113-127, January.
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Citations

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Cited by:
  1. Xuguang Sheng & Lan Cheng, 2012. "Combination of "Combinations of P-values," Working Papers 2012-11, American University, Department of Economics.
  2. Clements, Michael P, 2012. "Probability Distributions or Point Predictions? Survey Forecasts of US Output Growth and Inflation," The Warwick Economics Research Paper Series (TWERPS) 976, University of Warwick, Department of Economics.

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