IDEAS home Printed from https://ideas.repec.org/a/bla/jecrev/v55y2004i4p418-450.html
   My bibliography  Save this article

A Three‐Step Procedure For Estimating And Testing Cointegrated Armax Models

Author

Listed:
  • TARO TAKIMOTO
  • YUZO HOSOYA

Abstract

To deal with a variety of inferential problems on non‐stationary cointegrated time series, this paper proposes a computationally feasible method based on the Whittle likelihood and examines its performance. For the empirical application of our method, the paper investigates three sets of Japanese and US monetary and financial time‐series data. To evaluate the p‐value of the likelihood ratio statistic, we propose an approximation procedure based on the gamma distribution and the accompanying Laguerre expansion for reducing the computational burden. We also provide a numerical procedure for the asymptotic covariance matrix of the Whittle estimator.

Suggested Citation

  • Taro Takimoto & Yuzo Hosoya, 2004. "A Three‐Step Procedure For Estimating And Testing Cointegrated Armax Models," The Japanese Economic Review, Japanese Economic Association, vol. 55(4), pages 418-450, December.
    • Handle: RePEc:bla:jecrev:v:55:y:2004:i:4:p:418-450
    DOI: 10.1111/j.1468-5876.2004.00317.x
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/j.1468-5876.2004.00317.x
    Download Restriction: no
    File URL: https://libkey.io/10.1111/j.1468-5876.2004.00317.x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Shimotsu, Katsumi, 2003. "Exact Local Whittle Estimation of Fractionally Cointegrated Systems," Economics Discussion Papers 8869, University of Essex, Department of Economics.
    2. Johansen, Soren, 1995. "Likelihood-Based Inference in Cointegrated Vector Autoregressive Models," OUP Catalogue, Oxford University Press, number 9780198774501.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Yuzo Hosoya & Taro Takimoto, 2010. "A numerical method for factorizing the rational spectral density matrix," Journal of Time Series Analysis, Wiley Blackwell, vol. 31(4), pages 229-240, July.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Justin Doran & Bernard Fingleton, 2014. "Economic shocks and growth: Spatio-temporal perspectives on Europe's economies in a time of crisis," Papers in Regional Science, Wiley Blackwell, vol. 93, pages 137-165, November.
    2. Arturas Juodis, 2013. "Cointegration Testing in Panel VAR Models Under Partial Identification and Spatial Dependence," UvA-Econometrics Working Papers 13-08, Universiteit van Amsterdam, Dept. of Econometrics.
    3. Lisbeth Funding la Cour, 1995. "A Component® based Analysis of the danish Long-run Money Demand Relation," Discussion Papers 95-18, University of Copenhagen. Department of Economics.
    4. Levent, Korap, 2007. "Modeling purchasing power parity using co-integration: evidence from Turkey," MPRA Paper 19584, University Library of Munich, Germany.
    5. Alessia Naccarato & Andrea Pierini & Giovanna Ferraro, 2021. "Markowitz portfolio optimization through pairs trading cointegrated strategy in long-term investment," Annals of Operations Research, Springer, vol. 299(1), pages 81-99, April.
    6. Darrian Collins & Clem Tisdell, 2004. "Outbound Business Travel Depends on Business Returns: Australian Evidence," Australian Economic Papers, Wiley Blackwell, vol. 43(2), pages 192-207, June.
    7. Christian Schoder, 2012. "Effective demand, exogenous normal utilization and endogenous capacity in the long run. Evidence from a CVAR analysis for the US," IMK Working Paper 103-2012, IMK at the Hans Boeckler Foundation, Macroeconomic Policy Institute.
    8. Muhammad Shahbaz & Vassilios G. Papavassiliou & Amine Lahiani & David Roubaud, 2023. "Are we moving towards decarbonisation of the global economy? Lessons from the distant past to the present," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 28(3), pages 2620-2634, July.
    9. Karaman Örsal, Deniz Dilan & Droge, Bernd, 2014. "Panel cointegration testing in the presence of a time trend," Computational Statistics & Data Analysis, Elsevier, vol. 76(C), pages 377-390.
    10. Jakšić Saša, 2022. "Modelling Determinants of Inflation in CESEE Countries: Global Vector Autoregressive Approach," Review of Economic Perspectives, Sciendo, vol. 22(2), pages 137-169, June.
    11. Njangang Henri & Nembot Ndeffo Luc & Nawo Larissa, 2019. "The Long‐run and Short‐run Effects of Foreign Direct Investment on Financial Development in African Countries," African Development Review, African Development Bank, vol. 31(2), pages 216-229, June.
    12. António Duarte, 2009. "The Portuguese Disinflation Process: Analysis of Some Costs and Benefits," Transition Studies Review, Springer;Central Eastern European University Network (CEEUN), vol. 16(1), pages 157-173, May.
    13. Lego, Brian & Gebremedhin, Tesfa & Cushing, Brian, 2000. "A Multi-Sector Export Base Model of Long-Run Regional Employment Growth," Agricultural and Resource Economics Review, Cambridge University Press, vol. 29(2), pages 192-197, October.
    14. Ali MNA & Moheddine YOUNSI, 2018. "A monetary conditions index and its application on Tunisian economic forecasting," Journal of Economics and Political Economy, KSP Journals, vol. 5(1), pages 38-56, March.
    15. Franses, Ph.H.B.F. & Paap, R., 1999. "Forecasting with periodic autoregressive time series models," Econometric Institute Research Papers EI 9927-/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    16. Hauser, Shmuel & Kedar-Levy, Haim & Milo, Orit, 2022. "Price discovery during parallel stocks and options preopening: Information distortion and hints of manipulation," Journal of Financial Markets, Elsevier, vol. 59(PA).
    17. Jaromir Benes & David Vavra, 2004. "Eigenvalue Decomposition of Time Series with Application to the Czech Business Cycle," Working Papers 2004/08, Czech National Bank.
    18. Çakır, Mustafa Yavuz & Kabundi, Alain, 2013. "Trade shocks from BRIC to South Africa: A global VAR analysis," Economic Modelling, Elsevier, vol. 32(C), pages 190-202.
    19. Stanislav Yugay & Linde Götz & Miranda Svanidze, 2024. "Impact of the Ruble exchange rate regime and Russia's war in Ukraine on wheat prices in Russia," Agricultural Economics, International Association of Agricultural Economists, vol. 55(2), pages 384-411, March.
    20. Apergis, Nicholas & Payne, James E., 2010. "Coal consumption and economic growth: Evidence from a panel of OECD countries," Energy Policy, Elsevier, vol. 38(3), pages 1353-1359, March.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bla:jecrev:v:55:y:2004:i:4:p:418-450. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/jeaaaea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.