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Cycles, Syllogisms and Semantics: Examining the Idea of Spurious Cycles

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  • Stephen Pollock

Abstract

The claim that linear filters are liable to induce spurious fluctuations has been repeated many times of late. However, there are good reasons for asserting that this cannot be the case for the filters that, nowadays, are commonly employed by econometricians. If these filters cannot have the effects that have been attributed to them, then one must ask what effects the filters do have that could have led to the aspersions that have been made against them.

Suggested Citation

  • Stephen Pollock, 2014. "Cycles, Syllogisms and Semantics: Examining the Idea of Spurious Cycles," Discussion Papers in Economics 14/03, Division of Economics, School of Business, University of Leicester.
  • Handle: RePEc:lec:leecon:14/03
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    1. Marianne Baxter & Robert G. King, 1999. "Measuring Business Cycles: Approximate Band-Pass Filters For Economic Time Series," The Review of Economics and Statistics, MIT Press, vol. 81(4), pages 575-593, November.
    2. Nelson, Charles R & Kang, Heejoon, 1981. "Spurious Periodicity in Inappropriately Detrended Time Series," Econometrica, Econometric Society, vol. 49(3), pages 741-751, May.
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    4. Lyubomir Ivanov, 2005. "Is "The ideal filter" really Ideal: The usage of Frequency Filtering and Spurious Cycles," South-Eastern Europe Journal of Economics, Association of Economic Universities of South and Eastern Europe and the Black Sea Region, vol. 3(1), pages 79-96.
    5. Simon Kuznets & Elizabeth Jenks, 1961. "Capital in the American Economy: Its Formation and Financing," NBER Books, National Bureau of Economic Research, Inc, number kuzn61-1.
    6. Harvey, A C & Jaeger, A, 1993. "Detrending, Stylized Facts and the Business Cycle," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 8(3), pages 231-247, July-Sept.
    7. Simon Kuznets & Elizabeth Jenks, 1961. "Appendices and Index, "Capital in the American Economy: Its Formation and Financing"," NBER Chapters, in: Capital in the American Economy: Its Formation and Financing, pages 465-664, National Bureau of Economic Research, Inc.
    8. Chan, K Hung & Hayya, Jack C & Ord, J Keith, 1977. "A Note on Trend Removal Methods: The Case of Polynomial Regression versus Variate Differencing," Econometrica, Econometric Society, vol. 45(3), pages 737-744, April.
    9. King, Robert G. & Rebelo, Sergio T., 1993. "Low frequency filtering and real business cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 17(1-2), pages 207-231.
    10. Burridge, Peter & Guerre, Emmanuel, 1996. "The Limit Distribution of level Crossings of a Random Walk, and a Simple Unit Root Test," Econometric Theory, Cambridge University Press, vol. 12(4), pages 705-723, October.
    11. Cogley, Timothy & Nason, James M., 1995. "Effects of the Hodrick-Prescott filter on trend and difference stationary time series Implications for business cycle research," Journal of Economic Dynamics and Control, Elsevier, vol. 19(1-2), pages 253-278.
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    Cited by:

    1. Spinola, Danilo, 2023. "Instability constraints and development traps: an empirical analysis of growth cycles and economic volatility in Latin America," Revista CEPAL, Naciones Unidas Comisión Económica para América Latina y el Caribe (CEPAL), April.
    2. Michal Andrle & Jan Bruha & Serhat Solmaz, 2016. "On the Sources of Business Cycles: Implications for DSGE Models," Working Papers 2016/03, Czech National Bank.
    3. Kufenko, Vadim, 2016. "Spurious periodicities in cliometric series: Simultaneous testing," Violette Reihe: Schriftenreihe des Promotionsschwerpunkts "Globalisierung und Beschäftigung" 48/2016, University of Hohenheim, Carl von Ossietzky University Oldenburg, Evangelisches Studienwerk.
    4. D. Stephen G. Pollock, 2018. "Filters, Waves and Spectra," Econometrics, MDPI, vol. 6(3), pages 1-33, July.
    5. Escañuela Romana, Ignacio, 2016. "Azar, Determinismo e Indecidibilidad en la Teoría del Ciclo Económico [Randomness, Determinism and Undecidability in the Business Cycle Theory]," MPRA Paper 72978, University Library of Munich, Germany.
    6. Ignacio Escañuela ROMANA, 2016. "Randomness, Determinism and Undecidability in the Economic Cycle Theory," Journal of Economics and Political Economy, KSP Journals, vol. 3(4), pages 638-658, December.
    7. D.S.G. Pollock, "undated". "Filters, Waves and Spectra," Discussion Papers in Economics 19/08, Division of Economics, School of Business, University of Leicester.
    8. Michal Andrle & Jan Bruha & Mr. Serhat Solmaz, 2016. "Output and Inflation Co-movement: An Update on Business-Cycle Stylized Facts," IMF Working Papers 2016/241, International Monetary Fund.
    9. Lisa Sella & Gianna Vivaldo & Andreas Groth & Michael Ghil, 2016. "Economic Cycles and Their Synchronization: A Comparison of Cyclic Modes in Three European Countries," Journal of Business Cycle Research, Springer;Centre for International Research on Economic Tendency Surveys (CIRET), vol. 12(1), pages 25-48, September.

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    More about this item

    Keywords

    business cycles; linear filters; spurious fluctuations;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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