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A fixed-T version of Breitung’s panel data unit root test

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  • Karavias, Yiannis
  • Tzavalis, Elias

Abstract

We extend Breitung’s (2000) panel data unit root test to the case of fixed time (T) dimension while still allowing for heteroscedastic and serially correlated error terms. The analytic local power function of the new test is derived assuming that only the cross section dimension of the panel grows large. It is found that, if the errors are serially correlated, the test has non-trivial power. Monte Carlo experiments show that the suggested test is more powerful when the number of cross section units is moderate or large, regardless of the number of time series observations.

Suggested Citation

  • Karavias, Yiannis & Tzavalis, Elias, 2014. "A fixed-T version of Breitung’s panel data unit root test," Economics Letters, Elsevier, vol. 124(1), pages 83-87.
  • Handle: RePEc:eee:ecolet:v:124:y:2014:i:1:p:83-87
    DOI: 10.1016/j.econlet.2014.04.029
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    References listed on IDEAS

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    1. Rembert De Blander & Geert Dhaene, 2012. "Unit root tests for panel data with AR(1) errors and small T," Econometrics Journal, Royal Economic Society, vol. 15(1), pages 101-124, February.
    2. Moon, Hyungsik Roger & Perron, Benoit & Phillips, Peter C.B., 2007. "Incidental trends and the power of panel unit root tests," Journal of Econometrics, Elsevier, vol. 141(2), pages 416-459, December.
    3. Harris, Richard D. F. & Tzavalis, Elias, 1999. "Inference for unit roots in dynamic panels where the time dimension is fixed," Journal of Econometrics, Elsevier, vol. 91(2), pages 201-226, August.
    4. Edith Madsen, 2010. "Unit root inference in panel data models where the time-series dimension is fixed: a comparison of different tests," Econometrics Journal, Royal Economic Society, vol. 13(1), pages 63-94, February.
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    Cited by:

    1. Yiannis Karavias & Elias Tzavalis, 2017. "Local power of panel unit root tests allowing for structural breaks," Econometric Reviews, Taylor & Francis Journals, vol. 36(10), pages 1123-1156, November.
    2. Yiannis Karavias & Elias Tzavalis, 2016. "Local Power of Fixed-T Panel Unit Root Tests With Serially Correlated Errors and Incidental Trends," Journal of Time Series Analysis, Wiley Blackwell, vol. 37(2), pages 222-239, March.
    3. Yiannis Karavias & Elias Tzavalis, 2014. "Testing for unit roots in panels with structural changes, spatial and temporal dependence when the time dimension is finite," Discussion Papers 14/03, University of Nottingham, Granger Centre for Time Series Econometrics.
    4. Elżbieta Szaruga & Elżbieta Załoga & Arkadiusz Drewnowski & Paulina Dąbrosz-Drewnowska, 2023. "Convergence of Energy Intensity of the Export of Goods by Rail Transport: Linkages with the Spatial Integration and Economic Condition of Countries," Energies, MDPI, vol. 16(9), pages 1-24, April.

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    More about this item

    Keywords

    Panel unit root; Local power function; Serial correlation; Incidental trends;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models

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