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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.

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Bibliographic Info

Article provided by Cambridge University Press in its journal Econometric Theory.

Volume (Year): 22 (2006)
Issue (Month): 06 (December)
Pages: 1179-1190

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Handle: RePEc:cup:etheor:v:22:y:2006:i:06:p:1179-1190_06

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Cited by:
  1. 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(01), pages 119-151, February.
  2. Joakim Westerlund & J�rg Breitung, 2013. "Lessons from a Decade of IPS and LLC," Econometric Reviews, Taylor & Francis Journals, vol. 32(5-6), pages 547-591, August.
  3. 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.
  4. 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.

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