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GMM Unit Root Inference in Generally Trending and Cross-Correlated Dynamic Panels

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  • Robertson, Donald
  • Sarafidis, Vasilis
  • Westerlund, Joakim

Abstract

This paper proposes a new panel unit root test based on the generalized method of moments approach for panels with a small number of time periods and a large number of cross-section units, N. In the model that we consider the deterministic trend function is essentially unrestricted and the errors are cross-sectionally correlated in a very general fashion. In spite of these allowances, the GMM-statistic is shown to be asymptotically unbiased, square root N-consistent and asymptotically normal for all values of the autoregressive (AR) coefficient, ρ, including unity, making it an ideal candidate for unit root inference. Results from both simulated and real data are provided to suggest that the asymptotic properties are borne out well in small samples.

Suggested Citation

  • Robertson, Donald & Sarafidis, Vasilis & Westerlund, Joakim, 2014. "GMM Unit Root Inference in Generally Trending and Cross-Correlated Dynamic Panels," MPRA Paper 53419, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:53419
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    References listed on IDEAS

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    Cited by:

    1. Artūras Juodis & Vasilis Sarafidis, 2018. "Fixed T dynamic panel data estimators with multifactor errors," Econometric Reviews, Taylor & Francis Journals, vol. 37(8), pages 893-929, September.
    2. In Choi, 2019. "Unit Root Tests for Dependent Micropanels," The Japanese Economic Review, Springer, vol. 70(2), pages 145-167, June.
    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. Juodis, Arturas & Sarafidis, Vasilis, 2015. "A Simple Estimator for Short Panels with Common Factors," MPRA Paper 68164, University Library of Munich, Germany.

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    More about this item

    Keywords

    Panel data; unit root test; cross-section dependence; common factors; GMM.;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models
    • C36 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Instrumental Variables (IV) Estimation

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