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A Simple MLE of Cointegrating Vectors in Higher Order Integrated Systems

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  • James H. Stock
  • Mark W. Watson

Abstract

An MLE of the unknown parameters of co integrating vectors is presented for systems in which some variables exhibit higher orders of integration, in which there might be deterministic components, and in which the co integrating vector itself might involve variables of differing orders of integration. The estimator is simple to compute: it can be calculated by running GLS for standard regression equations with serially correlated errors. Alternatively, an asymptotically equivalent estimator can be computed using OLS. Usual Wald test statistics based on these MLE's (constructed using an autocorrelation robust covariance matrix in the case of the OLS estimator) have asymptotic x2 distributions.

Suggested Citation

  • James H. Stock & Mark W. Watson, 1989. "A Simple MLE of Cointegrating Vectors in Higher Order Integrated Systems," NBER Technical Working Papers 0083, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberte:0083
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    Cited by:

    1. Martin D. Evans & Karen K. Lewis, 1990. "Do Stationary Risk Premia Explain It All? Evidence from the Term Struct," NBER Working Papers 3451, National Bureau of Economic Research, Inc.
    2. Carmen M Reinhart & Guillermo A Calvo & Carlos Vegh, 1994. "La Tasa De Cambio Real Como Meta De Política Teoría Y Evidencia," ENSAYOS SOBRE POLÍTICA ECONÓMICA, BANCO DE LA REPÚBLICA - ESPE, vol. 13(25), pages 7-50, June.
    3. Carmen M. Reinhart, 1995. "Devaluation, Relative Prices, and International Trade: Evidence from Developing Countries," IMF Staff Papers, Palgrave Macmillan, vol. 42(2), pages 290-312, June.
    4. Calvo, Guillermo A. & Reinhart, Carmen M. & Vegh, Carlos A., 1995. "Targeting the real exchange rate: theory and evidence," Journal of Development Economics, Elsevier, vol. 47(1), pages 97-133, June.
    5. Hoffmaister, Alexander W. & Pradhan, Mahmood & Samiei, Hossein, 1998. "Have North-South growth linkages changed?," World Development, Elsevier, vol. 26(5), pages 791-808, May.
    6. Karen K. Lewis & Martin D. Evans, 1992. "Do Expected Shifts in Inflation Policy Affect Real Rates?," NBER Working Papers 4134, National Bureau of Economic Research, Inc.
    7. Martin D. Evans & Karen K. Lewis, 1992. "Peso Problems and Heterogeneous Trading: Evidence from Excess Returns in Foreign Exchange and Euromarkets," Working Papers 92-13, New York University, Leonard N. Stern School of Business, Department of Economics.
    8. Peter C.B. Phillips, 1991. "The Long-Run Australian Consumption Function Reexamined: An Empirical Exercise in Bayesian Influence," Cowles Foundation Discussion Papers 1000, Cowles Foundation for Research in Economics, Yale University.
    9. Pierre-Daniel G. Sarte, 1999. "An empirical investigation of fluctuations in manufacturing sales and inventory within a sticky-price framework," Economic Quarterly, Federal Reserve Bank of Richmond, issue Sum, pages 61-84.
    10. S. J. Erenburg, 1998. "Productivity, private and public capital, and real wage in the US," Applied Economics Letters, Taylor & Francis Journals, vol. 5(8), pages 491-495.
    11. Anthony Garratt & Stephen Hall, 1995. "A proposed framework for monetary policy," Applied Economics Letters, Taylor & Francis Journals, vol. 2(5), pages 135-138.

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