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A review of systemscointegration tests

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  • Hubrich, Kirstin
  • Lütkepohl, Helmut
  • Saikkonen, Pentti

Abstract

The literature on systems cointegration tests is reviewed and the various sets of assumptions for the asymptotic validity of the tests are compared within a general unifying framework. The comparison includes likelihood ratio tests, Lagrange multiplier and Wald type tests, lag augmentation tests, tests based on canonical correlations, the Stock-Watson tests and Bierens' nonparametric tests. Asymptotic results regarding the power of these tests and previous small sample simulation studies are discussed. Further issues and proposals in the context of systems cointegration tests are also considered briefly. New simulations are presented to compare the tests under uniform conditions. Special emphasis is given to the sensitivity of the test performance with respect to the trending properties of the DGP. --

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Paper provided by Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes in its series SFB 373 Discussion Papers with number 1998,101.

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Date of creation: 1998
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Handle: RePEc:zbw:sfb373:1998101

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Keywords: systems cointegration tests; LR tests; nonparametric tests; asymptotic power; small sample simulations;

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References

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  1. Toda, Hiro Y. & Yamamoto, Taku, 1995. "Statistical inference in vector autoregressions with possibly integrated processes," Journal of Econometrics, Elsevier, Elsevier, vol. 66(1-2), pages 225-250.
  2. Quintos, Carmela E., 1998. "Analysis of cointegration vectors using the GMM approach," Journal of Econometrics, Elsevier, Elsevier, vol. 85(1), pages 155-188, July.
  3. Johansen, Soren & Schaumburg, Ernst, 1998. "Likelihood analysis of seasonal cointegration," Journal of Econometrics, Elsevier, Elsevier, vol. 88(2), pages 301-339, November.
  4. MacKinnon, James G & Haug, Alfred A & Michelis, Leo, 1999. "Numerical Distribution Functions of Likelihood Ratio Tests for Cointegration," Journal of Applied Econometrics, John Wiley & Sons, Ltd., John Wiley & Sons, Ltd., vol. 14(5), pages 563-77, Sept.-Oct.
  5. Nathan S. Balke & Thomas B. Fomby, 1992. "Threshold cointegration," Research Paper, Federal Reserve Bank of Dallas 9209, Federal Reserve Bank of Dallas.
  6. Harris, R. I. D. & Judge, G., 1998. "Small sample testing for cointegration using the bootstrap approach," Economics Letters, Elsevier, Elsevier, vol. 58(1), pages 31-37, January.
  7. Jurgen A. Doornik & David F. Hendry & Bent Nielsen, 1998. "Inference in Cointegrating Models: UK M1 Revisited," Journal of Economic Surveys, Wiley Blackwell, Wiley Blackwell, vol. 12(5), pages 533-572, December.
  8. Johansen, Soren, 1995. "Likelihood-Based Inference in Cointegrated Vector Autoregressive Models," OUP Catalogue, Oxford University Press, Oxford University Press, number 9780198774501, October.
  9. H. Peter Boswijk & Andre Lucas & Nick Taylor, 1999. "A Comparison of Parametric, Semi-nonparametric, Adaptive, and Nonparametric Cointegration Tests," Tinbergen Institute Discussion Papers 99-012/4, Tinbergen Institute.
  10. Granger, C. W. J., 1981. "Some properties of time series data and their use in econometric model specification," Journal of Econometrics, Elsevier, Elsevier, vol. 16(1), pages 121-130, May.
  11. Snell, Andy, 1998. "Testing for r versus r-1 cointegrating vectors," Journal of Econometrics, Elsevier, Elsevier, vol. 88(1), pages 151-191, November.
  12. Yang, M. & Bewley, R., 1995. "On Cointegration Test for VAR Models with Drift," Papers, New South Wales - School of Economics 95/32, New South Wales - School of Economics.
  13. Kleibergen, Frank & van Dijk, Herman K., 1994. "Direct cointegration testing in error correction models," Journal of Econometrics, Elsevier, Elsevier, vol. 63(1), pages 61-103, July.
  14. H. Lütkepohl & D. S. Poskitt, 1996. "Consistent Estimation of the Number of Cointegration Relations in a Vector Autoregressive Model," SFB 373 Discussion Papers 1996,74, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  15. Saikkonen, Pentti, 1992. "Estimation and Testing of Cointegrated Systems by an Autoregressive Approximation," Econometric Theory, Cambridge University Press, Cambridge University Press, vol. 8(01), pages 1-27, March.
  16. Haug, A.A., 1992. "Tests for Cointegration: A Monte Carlo Comparison," Papers, York (Canada) - Department of Economics 93-2, York (Canada) - Department of Economics.
  17. Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, Econometric Society, vol. 59(6), pages 1551-80, November.
  18. Cheung, Yin-Wong & Lai, Kon S, 1993. "Finite-Sample Sizes of Johansen's Likelihood Ration Tests for Conintegration," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 55(3), pages 313-28, August.
  19. Nyblom, Jukka & Harvey, Andrew, 1999. "Tests of Common Stochastic Trends," Cambridge Working Papers in Economics, Faculty of Economics, University of Cambridge 9902, Faculty of Economics, University of Cambridge.
  20. Johansen, S., 1991. "Determination of Cointegration Rank in the Presence of a Linear Trend," Papers, Helsinki - Department of Economics 76a, Helsinki - Department of Economics.
  21. Toda, Hiro Y., 1995. "Finite Sample Performance of Likelihood Ratio Tests for Cointegrating Ranks in Vector Autoregressions," Econometric Theory, Cambridge University Press, Cambridge University Press, vol. 11(05), pages 1015-1032, October.
  22. Inoue, Atsushi, 1999. "Tests of cointegrating rank with a trend-break," Journal of Econometrics, Elsevier, Elsevier, vol. 90(2), pages 215-237, June.
  23. Boswijk, Peter & Franses, Philip Hans, 1992. "Dynamic Specification and Cointegration," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(3), pages 369-81, August.
  24. Phillips, Peter C B & Ouliaris, S, 1990. "Asymptotic Properties of Residual Based Tests for Cointegration," Econometrica, Econometric Society, Econometric Society, vol. 58(1), pages 165-93, January.
  25. repec:cup:etheor:v:13:y:1997:i:2:p:149-69 is not listed on IDEAS
  26. Corradi, V. & Swanson, N. & White, H., 1996. "Testing for Stationarity-Ergodicity and for Comovements Between Nonlinear Discrete Time Markov Processes," Papers, Pennsylvania State - Department of Economics 4-96-6, Pennsylvania State - Department of Economics.
  27. Choi, In, 1994. "Residual-Based Tests for the Null of Stationarity with Applications to U.S. Macroeconomic Time Series," Econometric Theory, Cambridge University Press, Cambridge University Press, vol. 10(3-4), pages 720-746, August.
  28. Kauppi, H., 1999. "Essays on Econometrics of Cointegration," University of Helsinki, Department of Economics, Department of Economics 84, Department of Economics.
  29. Lyhagen, Johan, 1998. "Maximum likelihood estimation of the multivariate fractional cointegrating model," Working Paper Series in Economics and Finance 233, Stockholm School of Economics.
  30. Clements,Michael & Hendry,David, 1998. "Forecasting Economic Time Series," Cambridge Books, Cambridge University Press, Cambridge University Press, number 9780521632423.
  31. John C. Chao & Peter C.B. Phillips, 1997. "Model Selection in Partially Nonstationary Vector Autoregressive Processes with Reduced Rank Structure," Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University 1155, Cowles Foundation for Research in Economics, Yale University.
  32. Byeongseon, Seo, 1998. "Statistical inference on cointegration rank in error correction models with stationary covariates," Journal of Econometrics, Elsevier, Elsevier, vol. 85(2), pages 339-385, August.
  33. Larsson, Rolf, 1999. "Approximation Of The Asymptotic Distribution Of The Log Likelihood Ratio Test For Cointegration," Econometric Theory, Cambridge University Press, Cambridge University Press, vol. 15(06), pages 789-813, December.
  34. Doornik, Jurgen A, 1998. " Approximations to the Asymptotic Distributions of Cointegration Tests," Journal of Economic Surveys, Wiley Blackwell, Wiley Blackwell, vol. 12(5), pages 573-93, December.
  35. Harbo, Ingrid, et al, 1998. "Asymptotic Inference on Cointegrating Rank in Partial Systems," Journal of Business & Economic Statistics, American Statistical Association, American Statistical Association, vol. 16(4), pages 388-99, October.
  36. Saikkonen, Pentti & Luukkonen, Ritva, 1997. "Testing cointegration in infinite order vector autoregressive processes," Journal of Econometrics, Elsevier, Elsevier, vol. 81(1), pages 93-126, November.
  37. Engle, Robert F. & Yoo, Byung Sam, 1987. "Forecasting and testing in co-integrated systems," Journal of Econometrics, Elsevier, Elsevier, vol. 35(1), pages 143-159, May.
  38. Choi, In & Ahn, Byung Chul, 1995. "Testing for Cointegration in a System of Equations," Econometric Theory, Cambridge University Press, Cambridge University Press, vol. 11(05), pages 952-983, October.
  39. Gonzalo, Jesus, 1994. "Five alternative methods of estimating long-run equilibrium relationships," Journal of Econometrics, Elsevier, Elsevier, vol. 60(1-2), pages 203-233.
  40. Harris, D., 1996. "Principal Components Analysis of Cointegrated Time Series," Monash Econometrics and Business Statistics Working Papers, Monash University, Department of Econometrics and Business Statistics 2/96, Monash University, Department of Econometrics and Business Statistics.
  41. Denis Kwiatkowski & Peter C.B. Phillips & Peter Schmidt, 1991. "Testing the Null Hypothesis of Stationarity Against the Alternative of a Unit Root: How Sure Are We That Economic Time Series Have a Unit Root?," Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University 979, Cowles Foundation for Research in Economics, Yale University.
  42. repec:wop:humbsf:1999-4 is not listed on IDEAS
  43. Gonzalo, J. & Lee, T.H., 1995. "Pitfalls in Testing for Long Run Relationships," Papers, Boston University - Department of Economics 38, Boston University - Department of Economics.
  44. Lucas, André, 1997. "Cointegration Testing Using Pseudolikelihood Ratio Tests," Econometric Theory, Cambridge University Press, Cambridge University Press, vol. 13(02), pages 149-169, April.
  45. Choi, In, 1993. "Asymptotic Normality of the Least-Squares Estimates for Higher Order Autoregressive Integrated Processes with Some Applications," Econometric Theory, Cambridge University Press, Cambridge University Press, vol. 9(02), pages 263-282, April.
  46. Poskitt, Don S, 2000. "Strongly Consistent Determination of Cointegrating Rank via Canonical Correlations," Journal of Business & Economic Statistics, American Statistical Association, American Statistical Association, vol. 18(1), pages 77-90, January.
  47. Johansen, Soren & Juselius, Katarina, 1990. "Maximum Likelihood Estimation and Inference on Cointegration--With Applications to the Demand for Money," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 52(2), pages 169-210, May.
  48. Choi, In & Chul Ahn, Byung, 1998. "Testing the null of stationarity for multiple time series," Journal of Econometrics, Elsevier, Elsevier, vol. 88(1), pages 41-77, November.
  49. Horvath, Michael T.K. & Watson, Mark W., 1995. "Testing for Cointegration When Some of the Cointegrating Vectors are Prespecified," Econometric Theory, Cambridge University Press, Cambridge University Press, vol. 11(05), pages 984-1014, October.
  50. Saikkonen, Pentti & Lütkepohl, Helmut, 1997. "Local power of likelihood ratio tests for the cointegrating rank of a VAR process," SFB 373 Discussion Papers 1997,58, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  51. van Giersbergen, Noud P A, 1996. "Bootstrapping the Trace Statistic in VAR Models: Monte Carlo Results and Applications," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 58(2), pages 391-408, May.
  52. Bierens, Herman J., 1997. "Nonparametric cointegration analysis," Journal of Econometrics, Elsevier, Elsevier, vol. 77(2), pages 379-404, April.
  53. Caner, Mehmet, 1998. "Tests for cointegration with infinite variance errors," Journal of Econometrics, Elsevier, Elsevier, vol. 86(1), pages 155-175, June.
  54. Boswijk, H. Peter & Lucas, Andre, 2002. "Semi-nonparametric cointegration testing," Journal of Econometrics, Elsevier, Elsevier, vol. 108(2), pages 253-280, June.
  55. Gonzalo, Jesus & Pitarakis, Jean-Yves, 1998. "Specification via model selection in vector error correction models," Economics Letters, Elsevier, Elsevier, vol. 60(3), pages 321-328, September.
  56. Lutkepohl, Helmut & Saikkonen, Pentti, 2000. "Testing for the cointegrating rank of a VAR process with a time trend," Journal of Econometrics, Elsevier, Elsevier, vol. 95(1), pages 177-198, March.
  57. Andre Lucas, 1998. "Inference on cointegrating ranks using lr and lm tests based on pseudo-likelihoods," Econometric Reviews, Taylor & Francis Journals, Taylor & Francis Journals, vol. 17(2), pages 185-214.
  58. repec:wop:humbsf:1996-74 is not listed on IDEAS
  59. Shin, Yongcheol, 1994. "A Residual-Based Test of the Null of Cointegration Against the Alternative of No Cointegration," Econometric Theory, Cambridge University Press, Cambridge University Press, vol. 10(01), pages 91-115, March.
  60. Lutkepohl, Helmut & Reimers, Hans-Eggert, 1992. "Impulse response analysis of cointegrated systems," Journal of Economic Dynamics and Control, Elsevier, Elsevier, vol. 16(1), pages 53-78, January.
  61. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, Elsevier, vol. 12(2-3), pages 231-254.
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