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Single Source of Error State Space Approach to the Beveridge Nelson Decomposition

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  • Chin Nam Low
  • Heather Anderson
  • Ralph Snyder

Abstract

The use of the Beveridge Nelson decomposition in macroeconomic analysis involves the truncation and estimation of infinite weighted sums of random variables, whereas the single source of error (SSE) state space approach provides a simple and effective framework that leads to exactly the same decomposition. Thus, although the (SSE) approach was originally developed as a forecasting tool, it can also be used as a macroeconomic tool, providing a straightforward decomposition of the series into trend and cyclical components, and simplifying the calculation of the relative importance of permanent and temporary shocks.

Suggested Citation

  • Chin Nam Low & Heather Anderson & Ralph Snyder, 2004. "Single Source of Error State Space Approach to the Beveridge Nelson Decomposition," Econometric Society 2004 Australasian Meetings 242, Econometric Society.
  • Handle: RePEc:ecm:ausm04:242
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    References listed on IDEAS

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    1. Beveridge, Stephen & Nelson, Charles R., 1981. "A new approach to decomposition of economic time series into permanent and transitory components with particular attention to measurement of the `business cycle'," Journal of Monetary Economics, Elsevier, vol. 7(2), pages 151-174.
    2. Charles Nelson & Eric Zivot, 2000. "Why are Beveridge-Nelson and Unobserved-Component Decompositions of GDP so Different?," Econometric Society World Congress 2000 Contributed Papers 0692, Econometric Society.
    3. Stock, James H & Watson, Mark W, 1988. "Variable Trends in Economic Time Series," Journal of Economic Perspectives, American Economic Association, vol. 2(3), pages 147-174, Summer.
    4. Morley, James C., 2002. "A state-space approach to calculating the Beveridge-Nelson decomposition," Economics Letters, Elsevier, vol. 75(1), pages 123-127, March.
    5. Canova, Fabio, 1998. "Detrending and business cycle facts: A user's guide," Journal of Monetary Economics, Elsevier, vol. 41(3), pages 533-540, May.
    6. Canova, Fabio, 1998. "Detrending and business cycle facts," Journal of Monetary Economics, Elsevier, vol. 41(3), pages 475-512, May.
    7. Blanchard, Olivier J, 1979. "Backward and Forward Solutions for Economies with Rational Expectations," American Economic Review, American Economic Association, vol. 69(2), pages 114-118, May.
    8. Campbell, John Y & Mankiw, N Gregory, 1987. "Permanent and Transitory Components in Macroeconomic Fluctuations," American Economic Review, American Economic Association, vol. 77(2), pages 111-117, May.
    9. Watson, Mark W., 1986. "Univariate detrending methods with stochastic trends," Journal of Monetary Economics, Elsevier, vol. 18(1), pages 49-75, July.
    10. James C. Morley & Charles R. Nelson & Eric Zivot, 2003. "Why Are the Beveridge-Nelson and Unobserved-Components Decompositions of GDP So Different?," The Review of Economics and Statistics, MIT Press, vol. 85(2), pages 235-243, May.
    11. Miller, Stephen M., 1988. "The Beveridge-Nelson decomposition of economic time series : Another economical computational method," Journal of Monetary Economics, Elsevier, vol. 21(1), pages 141-142, January.
    12. Newbold, Paul, 1990. "Precise and efficient computation of the Beveridge-Nelson decomposition of economic time series," Journal of Monetary Economics, Elsevier, vol. 26(3), pages 453-457, December.
    13. Ord, J.K. & Koehler, A. & Snyder, R.D., 1995. "Estimation and Prediction for a Class of Dynamic Nonlinear Statistical Models," Monash Econometrics and Business Statistics Working Papers 4/95, Monash University, Department of Econometrics and Business Statistics.
    14. Andrew Harvey & Siem Jan Koopman, 2000. "Signal extraction and the formulation of unobserved components models," Econometrics Journal, Royal Economic Society, vol. 3(1), pages 84-107.
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    Citations

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    Cited by:

    1. Güneş Kamber & James Morley & Benjamin Wong, 2016. "Intuitive and reliable estimates of the output gap from a Beveridge-Nelson filter," BIS Working Papers 584, Bank for International Settlements.
    2. Basistha, Arabinda & Kurov, Alexander, 2010. "Estimating earnings trend using unobserved components framework," Economics Letters, Elsevier, vol. 107(1), pages 55-57, April.
    3. Kum Hwa Oh & Eric Zivot & Drew Creal, 2006. "The Relationship between the Beveridge-Nelson Decomposition andUnobserved Component Models with Correlated Shocks," Working Papers UWEC-2006-16-FC, University of Washington, Department of Economics.
    4. Chin Nam Low & Heather Anderson & Ralph D. Snyder, 2006. "Beveridge-Nelson Decomposition with Markov Switching," Monash Econometrics and Business Statistics Working Papers 17/06, Monash University, Department of Econometrics and Business Statistics.
    5. Chew Lian Chua & G. C. Lim & Sarantis Tsiaplias, 2012. "A latent variable approach to forecasting the unemployment rate," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 31(3), pages 229-244, April.
    6. A. R. Pagan & Douglas Laxton & Luis Catão, 2008. "Monetary Transmission in an Emerging Targeter; The Case of Brazil," IMF Working Papers 08/191, International Monetary Fund.
    7. M. Dungey & J. P. A. M. Jacobs & J. Tian & S. van Norden, 2013. "On the correspondence between data revision and trend-cycle decomposition," Applied Economics Letters, Taylor & Francis Journals, vol. 20(4), pages 316-319, March.
    8. Luis A.V. Catão & Adrian Pagan, 2011. "The Credit Channel and Monetary Transmission in Brazil and Chile: A Structured VAR Approach," Central Banking, Analysis, and Economic Policies Book Series,in: Luis Felipe Céspedes & Roberto Chang & Diego Saravia (ed.), Monetary Policy under Financial Turbulence, edition 1, volume 16, chapter 5, pages 105-144 Central Bank of Chile.
    9. de Silva, Ashton & Hyndman, Rob J. & Snyder, Ralph, 2009. "A multivariate innovations state space Beveridge-Nelson decomposition," Economic Modelling, Elsevier, vol. 26(5), pages 1067-1074, September.
    10. Mardi Dungey & Jan P. A. M. Jacobs & Jing Jian & Simon van Norden, 2013. "Trend-Cycle Decomposition: Implications from an Exact Structural Identification," CIRANO Working Papers 2013s-23, CIRANO.
    11. Philip Liu, 2007. "Stabilizing The Australian Business Cycle: Good Luck Or Good Policy?," CAMA Working Papers 2007-24, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
    12. Heather M Anderson & Farshid Vahid, 2010. "VARs, Cointegration and Common Cycle Restrictions," Monash Econometrics and Business Statistics Working Papers 14/10, Monash University, Department of Econometrics and Business Statistics.
    13. Oh, Kum Hwa & Zivot, Eric & Creal, Drew, 2008. "The relationship between the Beveridge-Nelson decomposition and other permanent-transitory decompositions that are popular in economics," Journal of Econometrics, Elsevier, vol. 146(2), pages 207-219, October.

    More about this item

    Keywords

    Single Source of Error; Beveridge Nelson Decomposition; State-space;

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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