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Constructing seasonally adjusted data with time-varying confidence intervals

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Author Info
S.J. Koopman ()
P.H.B.F. Franses () (FEW-Econometrie en besliskunde)

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Abstract

Seasonal adjustment methods transform observed time series data into estimated data, where these estimated data are constructed such that they show no or almost no seasonal variation. An advantage of model-based methods is that these can provide confidence intervals around the seasonally adjusted data. One particularly useful time series model for seasonal adjustment is the basic structural time series [BSM] model. The usual premise of the BSM is that the variance of each of the components is constant. In this paper we address the possibility that the variance of the trend component in a macro-economic time series in some way depends on the business cycle. One reason for doing so is that one can expect that there is more uncertainty in recession periods. We extend the BSM by allowing for a business-cycle dependent variance in the level equation. Next we show how this affects the confidence intervals of seasonally adjusted data. We apply our extended BSM to monthly US unemployment and we show that the estimated confidence intervals for seasonally adjusted unemployment change with past changes in the oil price.

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Paper provided by Erasmus University Rotterdam, Econometric Institute in its series Econometric Institute Report with number 210.

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Date of creation: 2001
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Handle: RePEc:dgr:eureir:2001210

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Related research
Keywords: seasonally adjusted data confidence intervals;

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This paper has been announced in the following NEP Reports: References listed on IDEAS
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  1. Jaditz, Ted, 2000. "Seasonality in Variance Is Common in Macro Time Series," Journal of Business, University of Chicago Press, vol. 73(2), pages 245-54, April. [Downloadable!] (restricted)
  2. Hamilton, James D, 1989. "A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle," Econometrica, Econometric Society, vol. 57(2), pages 357-84, March. [Downloadable!] (restricted)
  3. Burridge, Peter & Wallis, Kenneth F, 1984. "Calculating the Variance of Seasonally Adjusted Series," The Warwick Economics Research Paper Series (TWERPS) 251, University of Warwick, Department of Economics.
  4. Fiorentini, G. & Maravall, A., 1995. "Unobserved Components in ARCH Models: An Application to Seasonal Adjustment," Papers 9509, Centro de Estudios Monetarios Y Financieros-.
  5. Franses, Philip Hans, 1995. "Quarterly US Unemployment: Cycles, Seasons and Asymmetries," Empirical Economics, Springer, vol. 20(4), pages 717-25.
  6. Canova, Fabio & Ghysels, Eric, 1994. "Changes in seasonal patterns : Are they cyclical?," Journal of Economic Dynamics and Control, Elsevier, vol. 18(6), pages 1143-1171, November. [Downloadable!] (restricted)
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  7. Ooms, Marius & Franses, Philip Hans, 1997. "On Periodic Correlations between Estimated Seasonal and Nonseasonal Components in German and U.S. Unemployment," Journal of Business & Economic Statistics, American Statistical Association, vol. 15(4), pages 470-81, October.
  8. Harvey, Andrew C & Koopman, Siem Jan, 1992. "Diagnostic Checking of Unobserved-Components Time Series Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(4), pages 377-89, October.
  9. Harvey, Andrew & Koopman, Siem Jan & Riani, Marco, 1997. "The Modeling and Seasonal Adjustment of Weekly Observations," Journal of Business & Economic Statistics, American Statistical Association, vol. 15(3), pages 354-68, July.
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Cited by:
(explanations, 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.)

  1. Gebhard Flaig, 2003. "Time Series Properties of the German Monthly Production Index," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
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