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Unit Root Inference in Generally Trending and Cross-Correlated Fixed-T Panels

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  • Donald Robertson
  • Vasilis Sarafidis
  • Joakim Westerlund

Abstract

This article proposes a new panel unit root test based on the generalized method of moments approach for panels with a possibly small number of time periods, T, and a large number of cross-sectional units, N. In the model that we consider the deterministic trend function is essentially unrestricted and the errors obey a multifactor structure that allows for rich forms of unobserved heterogeneity. In spite of these allowances, the GMM estimator considered is shown to be asymptotically unbiased, N$\sqrt{N}$-consistent, and asymptotically normal for all values of the autoregressive (AR) coefficient, ρ, including unity, making it a natural candidate for unit root inference. Results from our Monte Carlo study suggest that the asymptotic properties are borne out well in small samples. The implementation is illustrated by using a large sample of US banking institutions to test Gibrat’s Law.

Suggested Citation

  • Donald Robertson & Vasilis Sarafidis & Joakim Westerlund, 2018. "Unit Root Inference in Generally Trending and Cross-Correlated Fixed-T Panels," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 36(3), pages 493-504, July.
    • Handle: RePEc:taf:jnlbes:v:36:y:2018:i:3:p:493-504
    DOI: 10.1080/07350015.2016.1191501
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    Citations

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    Cited by:

    1. Huanjun Zhu & Vasilis Sarafidis & Mervyn J Silvapulle, 2020. "A new structural break test for panels with common factors [Panel data models with multiple time-varying individual effects]," The Econometrics Journal, Royal Economic Society, vol. 23(1), pages 137-155.
    2. Juodis, Artūras & Sarafidis, Vasilis, 2022. "An incidental parameters free inference approach for panels with common shocks," Journal of Econometrics, Elsevier, vol. 229(1), pages 19-54.
    3. Juodis, Arturas & Sarafidis, Vasilis, 2020. "Online Supplement to An Incidental Parameters Free Inference Approach for Panels with Common Shocks," MPRA Paper 104908, University Library of Munich, Germany.
    4. Chihwa Kao & Long Liu & Rui Sun, 2021. "A bias-corrected fixed effects estimator in the dynamic panel data model," Empirical Economics, Springer, vol. 60(1), pages 205-225, January.

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