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An Alternative Solution to the Autoregressivity Paradox in Time Series Analysis

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Abstract

This note concerns with the marginal models associated with a given vector autoregressive model. In particular, it is shown that a reduction in the orders of the univariate ARMA marginal models can be determined by the presence of variables integrated with different orders. The concepts and methods of the paper are illustrated via an empirical investigation of the low-frequency properties of hours worked in the US.

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  • Gianluca Cubadda & Umberto Triacca, 2011. "An Alternative Solution to the Autoregressivity Paradox in Time Series Analysis," CEIS Research Paper 184, Tor Vergata University, CEIS, revised 24 Jan 2011.
  • Handle: RePEc:rtv:ceisrp:184
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    1. Maravall, Agustin & Mathis, Alexandre, 1994. "Encompassing univariate models in multivariate time series : A case study," Journal of Econometrics, Elsevier, vol. 61(2), pages 197-233, April.
    2. Zellner, Arnold & Palm, Franz, 1974. "Time series analysis and simultaneous equation econometric models," Journal of Econometrics, Elsevier, vol. 2(1), pages 17-54, May.
    3. King, Robert G. & Plosser, Charles I. & Stock, James H. & Watson, Mark W., 1991. "Stochastic Trends and Economic Fluctuations," American Economic Review, American Economic Association, vol. 81(4), pages 819-840, September.
    4. Atella, Vincenzo & Centoni, Marco & Cubadda, Gianluca, 2008. "Technology shocks, structural breaks and the effects on the business cycle," Economics Letters, Elsevier, vol. 100(3), pages 392-395, September.
    5. Palm, Franz, 1977. "On univariate time series methods and simultaneous equation econometric models," Journal of Econometrics, Elsevier, vol. 5(3), pages 379-388, May.
    6. Cubadda, Gianluca & Hecq, Alain & Palm, Franz C., 2008. "Macro-panels and reality," Economics Letters, Elsevier, vol. 99(3), pages 537-540, June.
    7. Wallis, Kenneth F, 1977. "Multiple Time Series Analysis and the Final Form of Econometric Models," Econometrica, Econometric Society, vol. 45(6), pages 1481-1497, September.
    8. Rose, Andrew K., 1986. "Four paradoxes in GNP," Economics Letters, Elsevier, vol. 22(2-3), pages 137-141.
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    Cited by:

    1. repec:gam:jecnmx:v:4:y:2016:i:2:p:21:d:67747 is not listed on IDEAS
    2. Nunzio Cappuccio & Diego Lubian, 2016. "Unit Root Tests: The Role of the Univariate Models Implied by Multivariate Time Series," Econometrics, MDPI, Open Access Journal, vol. 4(2), pages 1-11, April.

    More about this item

    Keywords

    VAR Models; ARIMA Models; Final Equations;

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models

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