IDEAS home Printed from https://ideas.repec.org/p/hhb/hanken/0511.html
   My bibliography  Save this paper

Tests Against Stationary and Explosive Alternatives in Vector Autoregressive Models

Author

Listed:
  • Ahlgren, Niklas

    (Swedish School of Economics and Business Administration)

  • Nyblom, Jukka

    (University of Joensuu)

Abstract

The article proposes new tests for the number of unit roots in vector autoregressive models based on the eigenvalues of the companion matrix. Both stationary and explosive alternatives are considered. The limiting distributions of test statistics depend only on the number of unit roots. Size and power are investigated and it is found that the new test against stationary alternatives compares favorably with the widely used likelihood ratio test for the cointegrating rank. The powers are prominently higher against explosive than stationary alternatives. Some empirical examples are provided to show how to use the new tests with real data.

Suggested Citation

  • Ahlgren, Niklas & Nyblom, Jukka, 2005. "Tests Against Stationary and Explosive Alternatives in Vector Autoregressive Models," Working Papers 511, Hanken School of Economics.
    • Handle: RePEc:hhb:hanken:0511
    Note: This paper is published as: Ahlgren, Niklas and Nyblom, Jukka (2008), 'Tests against Stationary and Explosive Alternatives in Vector Autoregressive Models', Journal of Time Series Analysis, 29, 421-443.
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    References listed on IDEAS

    as
    1. Katarina Juselius & Zorica Mladenovic, 2002. "High Inflation, Hyperinflation and Explosive Roots: The Case of Yugoslavia," Discussion Papers 02-23, University of Copenhagen. Department of Economics.
    2. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
    3. Nielsen, Bent, 2001. "The Asymptotic Distribution of Unit Root Tests of Unstable Autoregressive Processes," Econometrica, Econometric Society, vol. 69(1), pages 211-219, January.
    Full references (including those not matched with items on IDEAS)

    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. Luke P. Jackson & Katarina Juselius & Andrew B. Martinez & Felix Pretis, 2025. "Modelling the dependence between recent changes in polar ice sheets: Implications for global sea-level projections," Working Papers 2025-002, The George Washington University, Department of Economics, H. O. Stekler Research Program on Forecasting.
    2. Hui Liu & Gabriel Rodriguez, 2003. "Human Activities and Global Warming: A Cointegration Analysis," Working Papers 0307E, University of Ottawa, Department of Economics.
    3. Zorica Mladenovic & Bent Nielsen, 2009. "The role of income in money demand during hyper-inflation: the case of Yugoslavia," Economics Papers 2009-W02, Economics Group, Nuffield College, University of Oxford.
    4. B. Nielsen, 2009. "Test for cointegration rank in general vector autoregressions," Economics Papers 2009-W10, Economics Group, Nuffield College, University of Oxford.
    5. Czujack, Corinna & Flôres Junior, Renato Galvão & Ginsburgh, Victor, 1995. "On long-run price comovements between paintings and prints," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 269, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    6. Law, Siong Hook & Tan, Hui & baharumshah, ahmad, 1999. "Financial Liberalization in ASEAN and the Fisher Hypothesis," Jurnal Ekonomi Malaysia, Faculty of Economics and Business, Universiti Kebangsaan Malaysia, vol. 33, pages 65-86.
    7. Bloch, Harry & Rafiq, Shuddhasattwa & Salim, Ruhul, 2015. "Economic growth with coal, oil and renewable energy consumption in China: Prospects for fuel substitution," Economic Modelling, Elsevier, vol. 44(C), pages 104-115.
    8. Jason Allen & Robert Amano & David P. Byrne & Allan W. Gregory, 2009. "Canadian city housing prices and urban market segmentation," Canadian Journal of Economics, Canadian Economics Association, vol. 42(3), pages 1132-1149, August.
    9. Zamani, Mehrzad, 2007. "Energy consumption and economic activities in Iran," Energy Economics, Elsevier, vol. 29(6), pages 1135-1140, November.
    10. Muhammad Shafiullah & Ravinthirakumaran Navaratnam, 2016. "Do Bangladesh and Sri Lanka Enjoy Export-Led Growth? A Comparison of Two Small South Asian Economies," South Asia Economic Journal, Institute of Policy Studies of Sri Lanka, vol. 17(1), pages 114-132, March.
    11. Menzie Chinn & Louis Johnston, 1996. "Real Exchange Rate Levels, Productivity and Demand Shocks: Evidence from a Panel of 14 Countries," NBER Working Papers 5709, National Bureau of Economic Research, Inc.
    12. repec:ebl:ecbull:v:6:y:2004:i:4:p:1-8 is not listed on IDEAS
    13. Titus O. Awokuse, 2003. "Is the export-led growth hypothesis valid for Canada?," Canadian Journal of Economics, Canadian Economics Association, vol. 36(1), pages 126-136, February.
    14. Zheng, Li & Abbasi, Kashif Raza & Salem, Sultan & Irfan, Muhammad & Alvarado, Rafael & Lv, Kangjuan, 2022. "How technological innovation and institutional quality affect sectoral energy consumption in Pakistan? Fresh policy insights from novel econometric approach," Technological Forecasting and Social Change, Elsevier, vol. 183(C).
    15. Yap, Wei Yim & Lam, Jasmine S.L., 2006. "Competition dynamics between container ports in East Asia," Transportation Research Part A: Policy and Practice, Elsevier, vol. 40(1), pages 35-51, January.
    16. Fazal Husain & Abdul Qayyum, 2006. "Stock Market Liberalisations in the South Asian Region," PIDE-Working Papers 2006:6, Pakistan Institute of Development Economics.
    17. Zia-Ur- Rahman, 2019. "Influence of Excessive Expenditure of the Government in Perspective of Interest Rate and Money Circulation Which in Turn Affects the Growing Process in Pakistan," Asian Journal of Economics and Empirical Research, Asian Online Journal Publishing Group, vol. 6(2), pages 120-129.
    18. Wesam Salah Alaloul & Muhammad Ali Musarat & Muhammad Babar Ali Rabbani & Qaiser Iqbal & Ahsen Maqsoom & Waqas Farooq, 2021. "Construction Sector Contribution to Economic Stability: Malaysian GDP Distribution," Sustainability, MDPI, vol. 13(9), pages 1-26, April.
    19. Nicholas Taylor, 1998. "Precious metals and inflation," Applied Financial Economics, Taylor & Francis Journals, vol. 8(2), pages 201-210.
    20. Frankel, Jeffrey A & Schmukler, Sergio L, 2000. "Country Funds and Asymmetric Information," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 5(3), pages 177-195, July.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:hhb:hanken:0511. 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: Staffan Dellringer The email address of this maintainer does not seem to be valid anymore. Please ask Staffan Dellringer to update the entry or send us the correct address (email available below). General contact details of provider: https://edirc.repec.org/data/shhhhfi.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.