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Unit root tests and structural change when the initial observation is drawn from its unconditional distribution

  • Hui Liu
  • Gabriel Rodr�guez

Following Elliott (1999; International Economic Review 40, 767--83.) and Perron and Rodr�guez (2003; Journal of Econometrics 115,1--27), we develop unit root tests in the context of structural change models using GLS detrended data ( Elliott, Rothenberg and Stock 1996; Econometrica 64, 813--39) when the initial observation is drawn from its unconditional distribution. We derive the limiting distributions of the M-tests ( Stock, 1999 cointegration, causality and forecasting; Oxford University Press, 137--67; Perron and Ng 1996; Review of Economics Studies 63, 435--463), the ADF statistic and a feasible optimal point test from which we derive the power envelope. Asymptotic power functions are calculated and compared with the case where the initial condition is not random. Finite sample size and power simulations under various forms of error processes are performed using different lag selection methods and two different methods to select the break point. Empirical applications are also provided. Copyright Royal Economic Society 2006

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Article provided by Royal Economic Society in its journal Econometrics Journal.

Volume (Year): 9 (2006)
Issue (Month): 2 (07)
Pages: 225-251

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Handle: RePEc:ect:emjrnl:v:9:y:2006:i:2:p:225-251
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  1. Minoru Kitahara & Toshihiro Matsumura, 2006. "Realized Cost-Based Subsidies For Strategic R&D Investments With "Ex Ante" And "Ex Post" Asymmetries," The Japanese Economic Review, Japanese Economic Association, vol. 57(3), pages 438-448.
  2. Klette, T.J. & Moen, J. & Griliches, Z., 1999. "Do Subsidies to Commercial R&D Reduce Market Failures? Microeconometric Evaluation Studies," Papers 16/99, Norwegian School of Economics and Business Administration-.
  3. Ekholm, Karolina & Torstensson, Johan, 1996. "High-Technology Subsidies in General Equilibrium: A Sector-Specific Approach," Working Paper Series 467, Research Institute of Industrial Economics.
  4. Miyagiwa, Kaz & Ohno, Yuka, 2002. "Uncertainty, spillovers, and cooperative R&D," International Journal of Industrial Organization, Elsevier, vol. 20(6), pages 855-876, June.
  5. Stephen Martin & John T. Scott, 1999. "The Nature of Innovation Market Failure and the Design of Public Support for Private Innovation," CIE Discussion Papers 1999-02, University of Copenhagen. Department of Economics. Centre for Industrial Economics.
  6. Isabel Busom, 2000. "An Empirical Evaluation of The Effects of R&D Subsidies," Economics of Innovation and New Technology, Taylor & Francis Journals, vol. 9(2), pages 111-148.
  7. Lakdawalla, Darius & Sood, Neeraj, 2004. "Social insurance and the design of innovation incentives," Economics Letters, Elsevier, vol. 85(1), pages 57-61, October.
  8. Petrakis, Emmanuel & Poyago-Theotoky, Joanna, 2002. "R&D Subsidies versus R&D Cooperation in a Duopoly with Spillovers and Pollution," Australian Economic Papers, Wiley Blackwell, vol. 41(1), pages 37-52, March.
  9. Poyago-Theotoky, Joanna, 1998. "R&D Competition in a Mixed Duopoly under Uncertainty and Easy Imitation," Journal of Comparative Economics, Elsevier, vol. 26(3), pages 415-428, September.
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