Spectral Analysis for Economic Time Series
AbstractThe last ten years have witnessed an increasing interest of the econometrics community in spectral theory. In fact, decomposing the series evolution in periodic contributions allows a more insightful view of its structure and on its cyclical behavior at different time scales. In this paper I concisely broach the issues of cross-spectral analysis and filtering, dwelling in particular upon the windowed filter (Iacobucci and Noullez 2002). In order to show the usefulness of these tools, I present an application to real data, namely to US unemployment and inflation. I show how cross spectral analysis and filtering can be used to find correlation between them (i.e. the Phillips curve) in some specific frequency bands, even if it does not appear in raw data.
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Bibliographic InfoPaper provided by Observatoire Francais des Conjonctures Economiques (OFCE) in its series Documents de Travail de l'OFCE with number 2003-07.
Date of creation: 2003
Date of revision:
Publication status: Forthcoming in "New Tools for Quantitative Analysis of Economic Dynamics"
spectral and cross spectral analysis; frequency selective filters; Phillips curve.;
Find related papers by JEL classification:
- C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
- C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
- E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Haldane, Andrew & Quah, Danny, 1999.
"UK Phillips curves and monetary policy,"
Journal of Monetary Economics,
Elsevier, vol. 44(2), pages 259-278, October.
- Lawrence J. Christiano & Terry J. Fitzgerald, 2003.
"The Band Pass Filter,"
International Economic Review,
Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(2), pages 435-465, 05.
- Lawrence J. Christiano & Terry J. Fitzgerald, 1999. "The Band pass filter," Working Paper 9906, Federal Reserve Bank of Cleveland.
- Tom Doan, . "CFFILTER: RATS procedure to perform band pass filter using Christiano-Fitzgerald method," Statistical Software Components RTS00034, Boston College Department of Economics.
- Lawrence J. Christiano & Terry J. Fitzgerald, 1999. "The Band Pass Filter," NBER Working Papers 7257, National Bureau of Economic Research, Inc.
- Luca Benati, 2001. "Band-pass filtering, cointegration, and business cycle analysis," Bank of England working papers 142, Bank of England.
- Christian J. Murray, 2003. "Cyclical Properties of Baxter-King Filtered Time Series," The Review of Economics and Statistics, MIT Press, vol. 85(2), pages 472-476, May.
- Granger, C W J, 1969. "Investigating Causal Relations by Econometric Models and Cross-Spectral Methods," Econometrica, Econometric Society, vol. 37(3), pages 424-38, July.
- Hodrick, Robert J & Prescott, Edward C, 1997.
"Postwar U.S. Business Cycles: An Empirical Investigation,"
Journal of Money, Credit and Banking,
Blackwell Publishing, vol. 29(1), pages 1-16, February.
- Christian Zimmermann, 2005. "HP-Filter code (Perl)," QM&RBC Codes 98, Quantitative Macroeconomics & Real Business Cycles.
- Kurt Annen, 2006. "HP-Filter DLL executable," QM&RBC Codes 167, Quantitative Macroeconomics & Real Business Cycles.
- Ken Matheny & Simon van Norden & Robert Vigfusson, 1989. "GAUSS code for the Hodrick-Prescott filter," QM&RBC Codes 2, Quantitative Macroeconomics & Real Business Cycles, revised Apr 1995.
- Edward C. Prescott, 1982. "FORTRAN code for the Hodrick-Prescott filter," QM&RBC Codes 3, Quantitative Macroeconomics & Real Business Cycles.
- Kurt Annen, 2004. "HP-filter for Java," QM&RBC Codes 168, Quantitative Macroeconomics & Real Business Cycles.
- Kurt Annen, 2006. "HP-Filter Excel Add-In," QM&RBC Codes 165, Quantitative Macroeconomics & Real Business Cycles.
- Morten Ravn, . "GAUSS program for Hodrick-Prescott filter," QM&RBC Codes 101, Quantitative Macroeconomics & Real Business Cycles.
- Robert J. Hodrick & Edward Prescott, 1981. "Post-War U.S. Business Cycles: An Empirical Investigation," Discussion Papers 451, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Ivailo Izvorski, . "MATLAB code for the Hodrick-Prescott filter," QM&RBC Codes 1, Quantitative Macroeconomics & Real Business Cycles.
- Kurt Annen, 2004. "Matlab functions for HP-filter," QM&RBC Codes 166, Quantitative Macroeconomics & Real Business Cycles.
- Christian Zimmermann, 2005. "HP-Filter (web interface)," QM&RBC Codes 97, Quantitative Macroeconomics & Real Business Cycles.
- Morten Ravn, . "Alternate GAUSS program for the Hodrick-Prescott Filter," QM&RBC Codes 102, Quantitative Macroeconomics & Real Business Cycles.
- Papageorgiou, Theofanis & Michaelides, Panayotis G. & Milios, John G., 2010. "Business cycles synchronization and clustering in Europe (1960-2009)," Journal of Economics and Business, Elsevier, vol. 62(5), pages 419-470, September.
- Shruthi Jayaram & Ila Patnaik & Ajay Shah, 2009.
"Examining the decoupling hypothesis for India,"
Trade Working Papers
22972, East Asian Bureau of Economic Research.
- Ajay Shah & Ila Patnaik & Shruthi Jayaram, 2009. "Examining the Decoupling Hypothesis for India," Working Papers id:2119, eSocialSciences.
- Jayaram, Shruthi & Patnaik, Ila & Shah, Ajay, 2009. "Examining the decoupling hypothesis for India," Working Papers 09/61, National Institute of Public Finance and Policy.
- Michaelides, Panayotis G. & Papageorgiou, Theofanis & Vouldis, Angelos T., 2013. "Business cycles and economic crisis in Greece (1960–2011): A long run equilibrium analysis in the Eurozone," Economic Modelling, Elsevier, vol. 31(C), pages 804-816.
- Esteban Perez Caldentey & Matias Vernengo, 2013. "Wage and Profit-led Growth: The Limits to Neo-Kaleckian Models and a Kaldorian Proposal," Economics Working Paper Archive wp_775, Levy Economics Institute.
- Pomenková, Jitka & Fidrmuc, Jarko & Korhonen, Iikka, 2014. "China and the World economy: Wavelet spectrum analysis of business cycles," BOFIT Discussion Papers 5/2014, Bank of Finland, Institute for Economies in Transition.
- Leon, Costas & Eeckels, Bruno, 2009. "A Dynamic Correlation Approach of the Swiss Tourism Income," MPRA Paper 15215, University Library of Munich, Germany.
- Svatopluk Kapounek & Jitka Pomenkova, 2012. "Spurious synchronization of business cycles: Dynamic correlation analysis of V4 countries," MENDELU Working Papers in Business and Economics 2012-22, Mendel University in Brno, Faculty of Business and Economics.
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