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Near observational equivalence and unit root processes: formal concepts and implications

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  • Jon Faust

Abstract

A number of recent papers have discussed the fact that difference stationary and trend stationary processes are nearly observationally equivalent. The meaning of this fact, however, remains clouded. This paper defines near observational equivalence and derives several implications of the notion for classical and Bayesian unit root inference. For example, unless restrictions are imposed on the general difference and trend stationary models, the exact size of any consistent unit root test rises to one with sample size. Bayesian posteriors regarding unit roots are arbitrary in the sense that given any prior, there are other priors that agree with the first regarding empirical outcomes, but that imply arbitrarily different unit root posteriors.

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File URL: http://www.federalreserve.gov/pubs/ifdp/1993/447/default.htm
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File URL: http://www.federalreserve.gov/pubs/ifdp/1993/447/ifdp447.pdf
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Bibliographic Info

Paper provided by Board of Governors of the Federal Reserve System (U.S.) in its series International Finance Discussion Papers with number 447.

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Date of creation: 1993
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Handle: RePEc:fip:fedgif:447

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Keywords: Econometrics;

References

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  1. Christiano, Lawrence J. & Eichenbaum, Martin, 1990. "Unit roots in real GNP: Do we know, and do we care?," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 32(1), pages 7-61, January.
  2. Campbell, John & Perron, Pierre, 1991. "Pitfalls and Opportunities: What Macroeconomists Should Know about Unit Roots," Scholarly Articles 3374863, Harvard University Department of Economics.
  3. Peter C.B. Phillips, 1990. "To Criticize the Critics: An Objective Bayesian Analysis of Stochastic Trends," Cowles Foundation Discussion Papers 950, Cowles Foundation for Research in Economics, Yale University.
  4. Schwert, G William, 2002. "Tests for Unit Roots: A Monte Carlo Investigation," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 5-17, January.
  5. Cochrane, John H., 1991. "A critique of the application of unit root tests," Journal of Economic Dynamics and Control, Elsevier, vol. 15(2), pages 275-284, April.
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Cited by:
  1. Julia Campos & Neil R. Ericsson & David F. Hendry, 1993. "Cointegration tests in the presence of structural breaks," International Finance Discussion Papers 440, Board of Governors of the Federal Reserve System (U.S.).
  2. Christopher J. Neely & Lucio Sarno, 2002. "How well do monetary fundamentals forecast exchange rates?," Review, Federal Reserve Bank of St. Louis, issue Sep, pages 51-74.
  3. John H. Rogers, 1998. "Monetary shocks and real exchange rates," International Finance Discussion Papers 612, Board of Governors of the Federal Reserve System (U.S.).
  4. Nelson Mark, 1998. "Fundamentals of the Real Dollar-Pound Rate: 1871-1994," Working Papers 98-14, Ohio State University, Department of Economics.
  5. Christopher J. Mayer & C. Tsuriel Somerville, 1996. "Unifying empirical and theoretical models of housing supply," Working Papers 96-12, Federal Reserve Bank of Boston.
  6. Chinn, Menzie D. & Meese, Richard A., 1995. "Banking on currency forecasts: How predictable is change in money?," Journal of International Economics, Elsevier, vol. 38(1-2), pages 161-178, February.

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