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Multivariate modelling of long memory processes with common components

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  • Morana, Claudio

Abstract

In the paper a new approach to the modelling of common components in long memory processes is introduced. The approach is based on a two-step procedure relying on Fourier transform methods (firrst step) and principal components analysis (second step), which, differently from previous contributions to the literature, allows the modelling of large data sets, both in terms of temporal and cross-sectional dimensions. Monte Carlo evidence, supporting the two-step stimation procedure, is also provided, as well as an empirical application to real data.

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Bibliographic Info

Article provided by Elsevier in its journal Computational Statistics & Data Analysis.

Volume (Year): 52 (2007)
Issue (Month): 2 (October)
Pages: 919-934

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Handle: RePEc:eee:csdana:v:52:y:2007:i:2:p:919-934

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  1. Phillips, Peter C B & Xiao, Zhijie, 1998. " A Primer on Unit Root Testing," Journal of Economic Surveys, Wiley Blackwell, vol. 12(5), pages 423-69, December.
  2. ANDREWS, DONALD W & Sun, Yixiao X, 2002. "Adaptive Local Polynomial Whittle Estimation of Long-Range Dependence," University of California at San Diego, Economics Working Paper Series qt9wt048tt, Department of Economics, UC San Diego.
  3. Ole E. Barndorff-Nielsen & Neil Shephard, 2000. "Econometric analysis of realised volatility and its use in estimating stochastic volatility models," Economics Papers 2001-W4, Economics Group, Nuffield College, University of Oxford, revised 05 Jul 2001.
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  5. D Marinucci & Peter M. Robinson, 2001. "Semiparametric fractional cointegration analysis," LSE Research Online Documents on Economics 2269, London School of Economics and Political Science, LSE Library.
  6. Andrea Beltratti & Claudio Morana, 2004. "Breaks and Persistency: Macroeconomic Causes of Stock Market Volatility," Working Papers 20, SEMEQ Department - Faculty of Economics - University of Eastern Piedmont.
  7. Gonzalo, Jesus & Granger, Clive W J, 1995. "Estimation of Common Long-Memory Components in Cointegrated Systems," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(1), pages 27-35, January.
  8. Pollock, D.S.G., 2006. "Econometric methods of signal extraction," Computational Statistics & Data Analysis, Elsevier, vol. 50(9), pages 2268-2292, May.
  9. Morana, Claudio, 2004. "Frequency domain principal components estimation of fractionally cointegrated processes," Working Paper Series 0321, European Central Bank.
  10. Peter C.B. Phillips, 1999. "Discrete Fourier Transforms of Fractional Processes," Cowles Foundation Discussion Papers 1243, Cowles Foundation for Research in Economics, Yale University.
  11. Yixiao Sun & Peter C.B. Phillips, 2002. "Nonlinear Log-Periodogram Regression for Perturbed Fractional Processes," Cowles Foundation Discussion Papers 1366, Cowles Foundation for Research in Economics, Yale University.
  12. Baillie, Richard T., 1996. "Long memory processes and fractional integration in econometrics," Journal of Econometrics, Elsevier, vol. 73(1), pages 5-59, July.
  13. Jushan Bai, 2003. "Inferential Theory for Factor Models of Large Dimensions," Econometrica, Econometric Society, vol. 71(1), pages 135-171, January.
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  15. Andersen T. G & Bollerslev T. & Diebold F. X & Labys P., 2001. "The Distribution of Realized Exchange Rate Volatility," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 42-55, March.
  16. Bai, Jushan, 2004. "Estimating cross-section common stochastic trends in nonstationary panel data," Journal of Econometrics, Elsevier, vol. 122(1), pages 137-183, September.
  17. Bierens, Herman J, 2000. "Nonparametric Nonlinear Cotrending Analysis, with an Application to Interest and Inflation in the United States," Journal of Business & Economic Statistics, American Statistical Association, vol. 18(3), pages 323-37, July.
  18. Robinson, Peter M. & Yajima, Yoshihiro, 2002. "Determination of cointegrating rank in fractional systems," Journal of Econometrics, Elsevier, vol. 106(2), pages 217-241, February.
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  21. Katsumi Shimotsu & Peter C.B. Phillips, 2000. "Pooled Log Periodogram Regression," Cowles Foundation Discussion Papers 1267, Cowles Foundation for Research in Economics, Yale University.
  22. Morana Claudio, 2002. "Common Persistent Factors in Inflation and Excess Nominal Money Growth and a New Measure of Core Inflation," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 6(3), pages 1-40, November.
  23. Morana, Claudio, 2006. "A small scale macroeconometric model for the Euro-12 area," Economic Modelling, Elsevier, vol. 23(3), pages 391-426, May.
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Citations

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Cited by:
  1. Fabio Bagliano & Claudio Morana, 2009. "Permanent and Transitory Dynamics in House Prices and Consumption: Cross-Country Evidence," CeRP Working Papers 81, Center for Research on Pensions and Welfare Policies, Turin (Italy).
  2. Claudio Morana, 2014. "Factor Vector Autoregressive Estimation of Heteroskedastic Persistent and Non Persistent Processes Subject to Structural Breaks," Working Papers 273, University of Milano-Bicocca, Department of Economics, revised May 2014.
  3. Claudio Morana, 2007. "On the macroeconomic causes of exchange rates volatility," ICER Working Papers 8-2007, ICER - International Centre for Economic Research.
  4. Fabio C. Bagliano & Claudio Morana, 2006. "International Macroeconomic Dynamics: a Factor Vector Autoregressive Approach," ICER Working Papers 41-2006, ICER - International Centre for Economic Research.
  5. Cassola, Nuno & Morana, Claudio, 2012. "Euro money market spreads during the 2007-? financial crisis," Working Paper Series 1437, European Central Bank.
  6. Fabio C. Bagliano & Claudio Morana, 2007. "Business Cycle Comovement in the G-7: Common Shocks or Common Transmission Mechanisms?," Carlo Alberto Notebooks 40, Collegio Carlo Alberto.
  7. Claudio Morana, 2010. "Heteroskedastic Factor Vector Autoregressive Estimation of Persistent and Non Persistent Processes Subject to Structural Breaks," ICER Working Papers - Applied Mathematics Series 36-2010, ICER - International Centre for Economic Research.
  8. Cassola, Nuno & Morana, Claudio, 2006. "Comovements in volatility in the euro money market," Working Paper Series 0703, European Central Bank.
  9. Andrea Beltratti & Claudio Morana, 2008. "International shocks and national house prices," ICER Working Papers - Applied Mathematics Series 14-2008, ICER - International Centre for Economic Research.
  10. Claudio Morana, 2013. "Factor Vector Autoregressive Estimation of Heteroskedastic Persistent and Non Persistent Processes Subject to Structural Breaks: New Insights on the US OIS SPreads Term Structure," Working Papers 233, University of Milano-Bicocca, Department of Economics, revised Feb 2013.

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