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Unit Root Tests and Structural Change when the Initial Observation is Drawn from its unconditional Distribution

  • Hui Liu

    (Department of Economics, University of Ottawa)

  • Gabriel Rodriguez

    ()

    (Department of Economics, University of Ottawa)

Following Elliott (1999) and Perron and Rodríguez (2003), we develop unit root tests in the context of structural change models using GLS detrended data (Elliott, Rothenberg and Stock, 1996) when the initial observation is drawn from its unconditional distribution. We derive the limiting distributions of the M-tests (Stock, 1999; Perron, and Ng, 1996), 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.

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Paper provided by University of Ottawa, Department of Economics in its series Working Papers with number 0602E.

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Length: 23 pages
Date of creation: 2006
Date of revision:
Handle: RePEc:ott:wpaper:0602e
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  1. Lakdawalla, Darius & Sood, Neeraj, 2004. "Social insurance and the design of innovation incentives," Economics Letters, Elsevier, vol. 85(1), pages 57-61, October.
  2. 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.
  3. 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.
  4. 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.
  5. 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.
  6. Ekholm, Karolina & Torstensson, Johan, 1996. "High-Technology Subsidies in General Equilibrium: A Sector-Specific Approach," Working Paper Series 467, Research Institute of Industrial Economics.
  7. 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-.
  8. Miyagiwa, Kaz & Ohno, Yuka, 2002. "Uncertainty, spillovers, and cooperative R&D," International Journal of Industrial Organization, Elsevier, vol. 20(6), pages 855-876, June.
  9. 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.
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