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Multivariate modelling of long memory processes with common components

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  • Claudio Morana

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.

Suggested Citation

  • Claudio Morana, 2006. "Multivariate modelling of long memory processes with common components," ICER Working Papers 40-2006, ICER - International Centre for Economic Research.
    • Handle: RePEc:icr:wpicer:40-2006
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    References listed on IDEAS

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    Cited by:

    1. Nuno Cassola & Claudio Morana, 2008. "Modeling Short-Term Interest Rate Spreads in the Euro Money Market," International Journal of Central Banking, International Journal of Central Banking, vol. 4(4), pages 1-37, December.
    2. Bagliano, Fabio C. & Morana, Claudio, 2009. "International macroeconomic dynamics: A factor vector autoregressive approach," Economic Modelling, Elsevier, vol. 26(2), pages 432-444, March.
    3. 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.
    4. 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.
    5. Cassola, Nuno & Morana, Claudio, 2012. "Euro money market spreads during the 2007–? financial crisis," Journal of Empirical Finance, Elsevier, vol. 19(4), pages 548-557.
    6. Huh, Hyeon-seung & Kim, David & Kim, Won Joong & Park, Cyn-Young, 2015. "A factor-augmented VAR analysis of business cycle synchronization in east Asia and implications for a regional currency union," International Review of Economics & Finance, Elsevier, vol. 39(C), pages 449-468.
    7. Cassola, Nuno & Morana, Claudio, 2010. "Comovements in volatility in the euro money market," Journal of International Money and Finance, Elsevier, vol. 29(3), pages 525-539, April.
    8. Fabio Bagliano & Claudio Morana, 2010. "Business cycle comovement in the G-7: common shocks or common transmission mechanisms?," Applied Economics, Taylor & Francis Journals, vol. 42(18), pages 2327-2345.
    9. Tobias Hartl & Roland Jucknewitz, 2022. "Approximate state space modelling of unobserved fractional components," Econometric Reviews, Taylor & Francis Journals, vol. 41(1), pages 75-98, January.
    10. Claudio Morana, 2022. "Euro area inflation and a new measure of core inflation," Working Papers 505, University of Milano-Bicocca, Department of Economics, revised Oct 2023.
    11. Tobias Hartl & Roland Weigand, 2018. "Multivariate Fractional Components Analysis," Papers 1812.09149, arXiv.org, revised Jan 2019.
    12. repec:tur:wpaper:2 is not listed on IDEAS
    13. Dark, Jonathan, 2015. "Futures hedging with Markov switching vector error correction FIEGARCH and FIAPARCH," Journal of Banking & Finance, Elsevier, vol. 61(S2), pages 269-285.
    14. Claudio Morana, 2022. "Euro area inflation and a new measure of core inflation," Working Paper series 22-14, Rimini Centre for Economic Analysis, revised Nov 2023.
    15. Morana, Claudio, 2009. "On the macroeconomic causes of exchange rate volatility," International Journal of Forecasting, Elsevier, vol. 25(2), pages 328-350.
    16. Claudio Morana, 2014. "New insights on the US OIS spreads term structure during the recent financial turmoil," Applied Financial Economics, Taylor & Francis Journals, vol. 24(5), pages 291-317, March.
    17. Marczak, Martyna & Gómez, Víctor, 2015. "Cyclicality of real wages in the USA and Germany: New insights from wavelet analysis," Economic Modelling, Elsevier, vol. 47(C), pages 40-52.
    18. Dark, Jonathan, 2018. "Multivariate models with long memory dependence in conditional correlation and volatility," Journal of Empirical Finance, Elsevier, vol. 48(C), pages 162-180.
    19. Philip Bertram & Robinson Kruse & Philipp Sibbertsen, 2013. "Fractional integration versus level shifts: the case of realized asset correlations," Statistical Papers, Springer, vol. 54(4), pages 977-991, November.
    20. Fabio C. Bagliano & Claudio Morana, 2008. "Permanent and Transitory Dynamics in House Prices and Consumption: Cross-Country Evidence," Working papers 02, Former Department of Economics and Public Finance "G. Prato", University of Torino.
    21. 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.
    22. 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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    More about this item

    Keywords

    long memory; common long memory factor model; permanent-persistent-non persistent decomposition; permanent-transitory decomposition.;
    All these keywords.

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models

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