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Cyclical Trends in Continuous Time Models

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Author Info
Joanne S. Ercolani
Abstract

It is undoubtedly desirable that econometric models capture the dynamic behaviour,like trends and cycles, observed in many economic processes. Building models with such capabilities has been an important objective in the continuous time econometrics literature, see for instance the cyclical growth models of Bergstrom (1966), the complete economy-wide macroeconometric models of, for example, Bergstrom and Wymer (1976), unobserved stochastic trends of Harvey and Stock (1988 and 1993) and Bergstrom (1997), and differential-difference equations of Chambers and McGarry (2002). This paper’s contribution is to examine cyclical trends formulated in continuous time, which complement the trend-plus-cycle models that are frequently used in the unobserved components literature.

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Paper provided by Department of Economics, University of Birmingham in its series Discussion Papers with number 07-13.

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Length: 10 pages
Date of creation: Sep 2007
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Handle: RePEc:bir:birmec:07-13

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Related research
Keywords: Cyclical Trends; continuous time models; stochastic differential equations; differential-difference equations;

Find related papers by JEL classification:
C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions

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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. A. R. Bergstrom, 2001. "Stability and wage acceleration in macroeconomic models of cyclical growth," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(3), pages 327-340. [Downloadable!]
  2. Bergstrom, A. R. & Nowman, K. B. & Wymer, C. R., 1992. "Gaussian estimation of a second order continuous time macroeconometric model of the UK," Economic Modelling, Elsevier, vol. 9(4), pages 313-351, October. [Downloadable!] (restricted)
  3. 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 231-47, July-Sept. [Downloadable!] (restricted)
  4. Harvey, A C, 1985. "Trends and Cycles in Macroeconomic Time Series," Journal of Business & Economic Statistics, American Statistical Association, vol. 3(3), pages 216-27, June.
  5. Thomas M. Trimbur, 2006. "Properties of higher order stochastic cycles," Journal of Time Series Analysis, Blackwell Publishing, vol. 27(1), pages 1-17, 01. [Downloadable!] (restricted)
  6. Chambers, Marcus J. & McGarry, Joanne S., 2002. "Modeling Cyclical Behavior With Differential-Difference Equations In An Unobserved Components Framework," Econometric Theory, Cambridge University Press, vol. 18(02), pages 387-419, April. [Downloadable!]
  7. Harvey, A. C. & Stock, James H., 1988. "Continuous time autoregressive models with common stochastic trends," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 365-384. [Downloadable!] (restricted)
  8. Andrew C. Harvey & Thomas M. Trimbur, 2003. "General Model-Based Filters for Extracting Cycles and Trends in Economic Time Series," The Review of Economics and Statistics, MIT Press, vol. 85(2), pages 244-255, 03. [Downloadable!] (restricted)
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  9. Ercolani, Joanne S. & Chambers, Marcus J., 2006. "Estimation Of Differential-Difference Equation Systems With Unknown Lag Parameters," Econometric Theory, Cambridge University Press, vol. 22(03), pages 483-498, June. [Downloadable!]
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