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Testing for Unit Roots in Short Dynamic Panels with Serially Correlated and Heteroscedastic Disturbance Terms

Author

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  • Hugo Kruiniger

    (Queen Mary, University of London)

  • Elias Tzavalis

    (Queen Mary, University of London)

Abstract

In this paper we introduce fixed-T unit root tests for panel data models with serially correlated and heteroscedastic disturbance terms. The tests are based on pooled least squares estimators for the autoregressive coefficient of the AR(1) panel model adjusted for their inconsistency. The proposed test statistics have normal limiting distributions when the cross-section dimension of the panel grows large, provided a condition involving the 4+δ-th order moments of the first differences of the data is satisfied. Monte Carlo evidence suggests that the tests have empirical size close to the nominal level and considerable power, even for MA(1) disturbance terms which exhibit strong negative autocorrelation.

Suggested Citation

  • Hugo Kruiniger & Elias Tzavalis, 2002. "Testing for Unit Roots in Short Dynamic Panels with Serially Correlated and Heteroscedastic Disturbance Terms," Working Papers 459, Queen Mary University of London, School of Economics and Finance.
  • Handle: RePEc:qmw:qmwecw:wp459
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    Citations

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    Cited by:

    1. Yiannis Karavias & Elias Tzavalis, "undated". "The local power of fixed-T panel unit root tests allowing for serially correlated errors," Discussion Papers 12/01, University of Nottingham, Granger Centre for Time Series Econometrics.
    2. Caterina Giannetti, 2015. "Unit roots and the dynamics of market shares: an analysis using an Italian banking micro-panel," Empirical Economics, Springer, vol. 48(2), pages 537-555, March.
    3. Stephen Bond & Céline Nauges & Frank Windmeijer, 2005. "Unit roots: identification and testing in micro panels," CeMMAP working papers CWP07/05, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    4. Karavias, Yiannis & Tzavalis, Elias, 2012. "On the Local Power of Fixed T Panel Unit Root Tests with Serially Correlated Errors," MPRA Paper 43131, University Library of Munich, Germany.
    5. Yiannis Karavias & Elias Tzavalis, "undated". "The power performance of fixed-T panel unit root tests allowing for structural breaks," Discussion Papers 13/01, University of Nottingham, Granger Centre for Time Series Econometrics.
    6. Yiannis Karavias & Elias Tzavalis, "undated". "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.
    7. Giannetti, C., 2008. "Unit Roots and the Dynamics of Market Shares : An Analysis Using Italian Banking Micro-Panel," Discussion Paper 2008-44, Tilburg University, Center for Economic Research.

    More about this item

    Keywords

    Panel data; Unit roots; Serial correlation; Heteroscedasticity; Central limit theorem;

    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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