A Multivariate Long-Memory Model with Structural Breaks
This paper introduces a multivariate long-memory model with structural breaks. In the proposed framework, time series exhibit possibly fractional orders of integration which are allowed to be different in each subsample. The break date is endogenously determined using a procedure which minimises the residual sum of squares (RSS). Monte Carlo experiments show that this method for detecting breaks performs well in large samples. As an illustration, we estimate a trivariate VAR including prices, employment and GDP in both the US and Mexico. For the subsample preceding the break our findings are similar to those of earlier studies based on a standard VAR approach in both countries, in the sense that the variables exhibit integer degrees of integration. On the contrary, the series are found to be fractionally integrated after the break, with the fractional differencing parameters being higher than 1 in the case of Mexico.
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- William R. Parke, 1999. "What Is Fractional Integration?," The Review of Economics and Statistics, MIT Press, vol. 81(4), pages 632-638, November.
- Sowell, Fallaw, 1992. "Modeling long-run behavior with the fractional ARIMA model," Journal of Monetary Economics, Elsevier, vol. 29(2), pages 277-302, April.
- Phillips, P.C.B., 1986.
"Testing for a Unit Root in Time Series Regression,"
Cahiers de recherche
8633, Universite de Montreal, Departement de sciences economiques.
- Linda Debenedictis, 1997. "A vector autoregressive model of the British Columbia regional economy," Applied Economics, Taylor & Francis Journals, vol. 29(7), pages 877-888.
- Thórarinn G. Pétursson & Torsten Sløk, 2001. "Wage formation and employment in a cointegrated VAR model," Econometrics Journal, Royal Economic Society, vol. 4(2), pages 2.
- Francis X. Diebold & Atsushi Inoue, 2000.
"Long Memory and Regime Switching,"
NBER Technical Working Papers
0264, National Bureau of Economic Research, Inc.
- Guglielmo Maria Caporale & Luis A. Gil-Alana, 2004.
"Non-Linearities And Fractional Integration In The Us Unemployment Rate,"
Public Policy Discussion Papers
04-17, Economics and Finance Section, School of Social Sciences, Brunel University.
- Guglielmo Maria Caporale & Luis A. Gil-Alana, 2007. "Nonlinearities and Fractional Integration in the US Unemployment Rate," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 69(4), pages 521-544, 08.
- Caporale, Guglielmo Maria & Gil-Alana, Luis A., 2004. "Non-linearities and fractional integration in the US unemployment rate," HWWA Discussion Papers 259, Hamburg Institute of International Economics (HWWA).
- Guglielmo Maria Caporale & Luis A. Gil-Alana, 2005. "Non-Linearities And Fractional Integration In The Us Unemployment Rate," Economics and Finance Discussion Papers 05-17, Economics and Finance Section, School of Social Sciences, Brunel University.
- Luis A. Gil-Alana & Guglielmo M. Caporale, . "Nonlinearities and fractional integration in the US unemployment rate," Faculty Working Papers 18/06, School of Economics and Business Administration, University of Navarra.
- Guglielmo Maria Caporale & Luis A. Gil-Alana, 2004. "Non-Linearities And Fractional Integration In The Us Unemployment Rate," Economics and Finance Discussion Papers 04-17, Economics and Finance Section, School of Social Sciences, Brunel University.
- Sims, Christopher A, 1980. "Macroeconomics and Reality," Econometrica, Econometric Society, vol. 48(1), pages 1-48, January.
- Baillie, Richard T., 1996. "Long memory processes and fractional integration in econometrics," Journal of Econometrics, Elsevier, vol. 73(1), pages 5-59, July.
- Granger, C. W. J., 1980. "Long memory relationships and the aggregation of dynamic models," Journal of Econometrics, Elsevier, vol. 14(2), pages 227-238, October.
- Morten Orregaard Nielsen, 2004.
"Efficient inference in multivariate fractionally integrated time series models,"
Royal Economic Society, vol. 7(1), pages 63-97, 06.
- Morten Oerregaard Nielsen, . "Efficient Inference in Multivariate Fractionally Integrated Time Series Models," Economics Working Papers 2002-6, School of Economics and Management, University of Aarhus.
- Diebold, Francis X. & Rudebusch, Glenn D., 1989.
"Long memory and persistence in aggregate output,"
Journal of Monetary Economics,
Elsevier, vol. 24(2), pages 189-209, September.
- Canova, Fabio, 2002.
"G-7 Inflation Forecasts,"
CEPR Discussion Papers
3283, C.E.P.R. Discussion Papers.
- Chang-Jin Kim & Charles Nelson & Jeremy M. Piger, 2003.
"The less volatile U.S. economy: a Bayesian investigation of timing, breadth, and potential explanations,"
2001-016, Federal Reserve Bank of St. Louis.
- Kim, Chang-Jin & Nelson, Charles R & Piger, Jeremy, 2004. "The Less-Volatile U.S. Economy: A Bayesian Investigation of Timing, Breadth, and Potential Explanations," Journal of Business & Economic Statistics, American Statistical Association, vol. 22(1), pages 80-93, January.
- Chang-Jin Kim & Charles Nelson & Jeremy Piger, 2001. "The less volatile U.S. economy: a Bayesian investigation of timing, breadth, and potential explanations," International Finance Discussion Papers 707, Board of Governors of the Federal Reserve System (U.S.).
- Carlos Velasco, 2003. "Gaussian Semi-parametric Estimation of Fractional Cointegration," Journal of Time Series Analysis, Wiley Blackwell, vol. 24(3), pages 345-378, 05.
- Gil-Alana, L. A., 2003. "A fractional multivariate long memory model for the US and the Canadian real output," Economics Letters, Elsevier, vol. 81(3), pages 355-359, December.
- Sowell, Fallaw, 1992. "Maximum likelihood estimation of stationary univariate fractionally integrated time series models," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 165-188.
- Chauvet, Marcelle & Potter, Simon, 2001.
"Recent Changes in the US Business Cycle,"
University of Manchester, vol. 69(5), pages 481-508, Special I.
- Norman Cameron & Derek Hum & Wayne Simpson, 1996. "Stylized Facts and Stylized Illusions: Inflation and Productivity Revisited," Canadian Journal of Economics, Canadian Economics Association, vol. 29(1), pages 152-62, February.
- Granger, C. W. J., 1981. "Some properties of time series data and their use in econometric model specification," Journal of Econometrics, Elsevier, vol. 16(1), pages 121-130, May.
- Iris Claus, 1999. "Estimating potential output for New Zealand: a structural VAR approach," Reserve Bank of New Zealand Discussion Paper Series DP2000/03, Reserve Bank of New Zealand.
- Gil-Alana, L. A. & Robinson, P. M., 1997. "Testing of unit root and other nonstationary hypotheses in macroeconomic time series," Journal of Econometrics, Elsevier, vol. 80(2), pages 241-268, October.
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