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On The Breitung Test For Panel Unit Roots And Local Asymptotic Power

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  • Moon, H.R.
  • Perron, B.
  • Phillips, P.C.B.

Abstract

This note analyzes the local asymptotic power properties of a test proposed by Breitung (2000, in B. Baltagi (ed.), Nonstationary Panels, Panel Cointegration, and Dynamic Panels). We demonstrate that the Breitung test, like many other tests (including point optimal tests) for panel unit roots in the presence of incidental trends, has nontrivial power in neighborhoods that shrink toward the null hypothesis at the rate of n−1/4T−1 where n and T are the cross-section and time-series dimensions, respectively. This rate is slower than the n−1/2T−1 rate claimed by Breitung. Simulation evidence documents the usefulness of the asymptotic approximations given here.The authors thank Paolo Paruolo and a referee for comments on an earlier version of the paper. Phillips acknowledges partial support from a Kelly Fellowship and the NSF under grant SES 04-142254. Perron acknowledges financial support from FQRSC, SSHRC, and MITACS.

Suggested Citation

  • Moon, H.R. & Perron, B. & Phillips, P.C.B., 2006. "On The Breitung Test For Panel Unit Roots And Local Asymptotic Power," Econometric Theory, Cambridge University Press, vol. 22(6), pages 1179-1190, December.
    • Handle: RePEc:cup:etheor:v:22:y:2006:i:06:p:1179-1190_06
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    1. Angeliki N. Menegaki & Aviral Kumar Tiwari, 2018. "A global food–energy–water nexus with heterogeneity, non-stationarity and cross-sectional dependence," Quality & Quantity: International Journal of Methodology, Springer, vol. 52(6), pages 2723-2755, November.
    2. Joakim Westerlund & Jörg Breitung, 2013. "Lessons from a Decade of IPS and LLC," Econometric Reviews, Taylor & Francis Journals, vol. 32(5-6), pages 547-591, August.
    3. Westerlund, Joakim & Larsson, Rolf, 2012. "Testing for a unit root in a random coefficient panel data model," Journal of Econometrics, Elsevier, vol. 167(1), pages 254-273.
    4. Zhongwen Liang, 2017. "A Unified Approach on the Local Power of Panel Unit Root Tests," Papers 1710.02944, arXiv.org.
    5. Westerlund, Joakim & Larsson, Rolf, 2015. "New tools for understanding the local asymptotic power of panel unit root tests," Journal of Econometrics, Elsevier, vol. 188(1), pages 59-93.
    6. Han, Chirok & Phillips, Peter C. B., 2010. "Gmm Estimation For Dynamic Panels With Fixed Effects And Strong Instruments At Unity," Econometric Theory, Cambridge University Press, vol. 26(1), pages 119-151, February.
    7. Westerlund, Joakim, 2015. "The effect of recursive detrending on panel unit root tests," Journal of Econometrics, Elsevier, vol. 185(2), pages 453-467.
    8. Mohan, Ramesh & Kemegue, Francis & Sjuib, Fahlino, 2007. "Hysteresis in Unemployment: Panel Unit Roots Tests Using State Level Data," MPRA Paper 5580, University Library of Munich, Germany.
    9. Gu, Jianqiang & Yue, Xiao-Guang & Nosheen, Safia & Naveed -ul-Haq, & Shi, Lei, 2022. "Does more stringencies in government policies during pandemic impact stock returns? Fresh evidence from GREF countries, a new emerging green bloc," Resources Policy, Elsevier, vol. 76(C).
    10. Skrobotov, Anton (Скроботов, Антон) & Turuntseva, Marina (Турунцева, Марина), 2017. "Testing the Hypothesis of a Unit Root for Independent Panels [Тестирование Гипотезы О Наличии Единичного Корня Для Независимых Панелей]," Working Papers 021707, Russian Presidential Academy of National Economy and Public Administration.
    11. Westerlund, Joakim, 2015. "The power of PANIC," Journal of Econometrics, Elsevier, vol. 185(2), pages 495-509.
    12. Chi Lau & Ka Fung & Lee Pugalis, 2014. "Is health care expenditure across Europe converging? Findings from the application of a nonlinear panel unit root test," Eurasian Business Review, Springer;Eurasia Business and Economics Society, vol. 4(2), pages 137-156, December.

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