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Econometric Methods for Modelling Systems With a Mixture of i(1) and i(0) Variables

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  • Lance A. Fisher
  • Hyeon‐Seung Huh
  • Adrian R. Pagan

Abstract

This paper considers structural models with both I(1) and I(0) variables. The structural shocks associated with either set of variables could be permanent or transitory. We classify the shocks as (P1,P0) and (T1,T0), where P/T distinguishes permanent/transitory, while 1/0 means they are attached to structural equations with either I(1) or I(0) variables as their ‘dependent’ variable. We show that P0 shocks can affect cointegration analysis and provide a formula to compute the permanent component if they are present. Finally, we reformulate a well‐known empirical structural vector autoregression showing the impact of P0 shocks when there are just long‐run parametric and sign restrictions. Copyright © 2015 John Wiley & Sons, Ltd.

Suggested Citation

  • Lance A. Fisher & Hyeon‐Seung Huh & Adrian R. Pagan, 2016. "Econometric Methods for Modelling Systems With a Mixture of i(1) and i(0) Variables," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 31(5), pages 892-911, August.
    • Handle: RePEc:wly:japmet:v:31:y:2016:i:5:p:892-911
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    Cited by:

    1. Fisher, Lance A. & Huh, Hyeon-seung, 2019. "An IV framework for combining sign and long-run parametric restrictions in SVARs," Journal of Macroeconomics, Elsevier, vol. 61(C), pages 1-1.
    2. Li, Mengheng & Mendieta-Muñoz, Ivan, 2024. "Dynamic hysteresis effects," Journal of Economic Dynamics and Control, Elsevier, vol. 163(C).
    3. Mardi Dungey & Denise R. Osborn, 2020. "The Gains from Catch‐up for China and the USA: An Empirical Framework," The Economic Record, The Economic Society of Australia, vol. 96(314), pages 350-365, September.
    4. Thomas H. W. Ziesemer, 2022. "Foreign R&D spillovers to the USA and strategic reactions," Applied Economics, Taylor & Francis Journals, vol. 54(37), pages 4274-4291, August.
    5. Houari, Oussama, 2022. "Uncertainty shocks and business cycles in the US: New insights from the last three decades," Economic Modelling, Elsevier, vol. 109(C).
    6. Oussama Houari, 2022. "Uncertainty shocks and business cycles in the US: New insights from the last three decades," Post-Print hal-03723972, HAL.
    7. Ivan Mendieta-Munoz & Mengheng Li, 2019. "The Multivariate Simultaneous Unobserved Compenents Model and Identification via Heteroskedasticity," Working Paper Series, Department of Economics, University of Utah 2019_06, University of Utah, Department of Economics.
    8. Alemu Lambamo Hawitibo, 2023. "Explaining macroeconomic fluctuations in Ethiopia: the role of monetary and fiscal policies," Economic Change and Restructuring, Springer, vol. 56(2), pages 1033-1061, April.
    9. Murasawa Yasutomo, 2022. "Bayesian multivariate Beveridge–Nelson decomposition of I(1) and I(2) series with cointegration," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 26(3), pages 387-415, June.
    10. Lance A. Fisher & Hyeon-seung Huh, 2018. "Combining sign and parametric restrictions in SVARs by Givens Rotations," Working papers 2018rwp-122, Yonsei University, Yonsei Economics Research Institute.
    11. Sam Ouliaris & Adrian Pagan, 2016. "A Method for Working with Sign Restrictions in Structural Equation Modelling," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 78(5), pages 605-622, October.
    12. John Foster, 2017. "Prior Commitment and Uncertainty in Complex Economic Systems: Reinstating History in the Core of Economic Analysis," Scottish Journal of Political Economy, Scottish Economic Society, vol. 64(4), pages 392-418, September.
    13. S Ouliaris & A R Pagan, 2015. "A New Method for Working With Sign Restrictions in SVARs," NCER Working Paper Series 105, National Centre for Econometric Research.
    14. Fisher Lance A. & Huh Hyeon-seung, 2020. "Combining sign and parametric restrictions in SVARs by utilising Givens rotations," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 24(3), pages 1-19, June.
    15. Tommy Wu & Michael Cheng & Ken Wong, 2017. "Bayesian analysis of Hong Kong's housing price dynamics," Pacific Economic Review, Wiley Blackwell, vol. 22(3), pages 312-331, August.
    16. THW Ziesemer, 2020. "Japan’s Productivity and GDP Growth: The Role of Private, Public and Foreign R&D 1967–2017," Economies, MDPI, vol. 8(4), pages 1-25, September.

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