IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v43y1997i3p457-465.html
   My bibliography  Save this article

Testing periodically integrated autoregressive models

Author

Listed:
  • Franses, Philip Hans
  • McAleer, Michael

Abstract

Periodically integrated time series require a periodic differencing filter to remove the stochastic trend. A non-periodic integrated time series needs the first-difference filter for similar reasons. When the changing seasonal fluctuations for the non-periodic integrated series can be described by seasonal dummy variables for which the corresponding parameters are not constant within the sample, such a series may not be easily distinguished from a periodically integrated time series. In this paper, testing procedures developed by Franses and McAleer [4] are used to distinguish between these two alternative stochastic and non-stochastic seasonal processes when there is a single known structural break in the seasonal dummy parameters. Two empirical examples, namely, the logarithms of quarterly real GNP series for Austria and Germany, are used to illustrate the approach.

Suggested Citation

  • Franses, Philip Hans & McAleer, Michael, 1997. "Testing periodically integrated autoregressive models," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 43(3), pages 457-465.
    • Handle: RePEc:eee:matcom:v:43:y:1997:i:3:p:457-465
    DOI: 10.1016/S0378-4754(97)00032-3
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475497000323
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/S0378-4754(97)00032-3?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Davidson, Russell & MacKinnon, James G, 1981. "Several Tests for Model Specification in the Presence of Alternative Hypotheses," Econometrica, Econometric Society, vol. 49(3), pages 781-793, May.
    2. Franses, Philip Hans & Paap, Richard, 1994. "Model Selection in Periodic Autoregressions," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 56(4), pages 421-439, November.
    3. Franses, P.H. & McAleer, M., 1995. "Testing Nested and Non-Nested Periodically Integrated Autoregressive Models," Papers 9510, Tilburg - Center for Economic Research.
    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. Clements, M.P. & Smith, J., 1997. "Forecasting Seasonal UK Consumption Components," The Warwick Economics Research Paper Series (TWERPS) 487, University of Warwick, Department of Economics.
    2. Venkatesh Shankar & Pablo Azar & Matthew Fuller, 2008. "—: A Multicategory Brand Equity Model and Its Application at Allstate," Marketing Science, INFORMS, vol. 27(4), pages 567-584, 07-08.
    3. repec:rri:wpaper:201303 is not listed on IDEAS
    4. Rao, Surekha & Ghali, Moheb & Krieg, John, 2008. "On the J-test for nonnested hypotheses and Bayesian extension," MPRA Paper 14637, University Library of Munich, Germany.
    5. 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.
    6. Garcia, Rene, 1998. "Asymptotic Null Distribution of the Likelihood Ratio Test in Markov Switching Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(3), pages 763-788, August.
    7. Burton, Diana M. & Love, H. Alan, 1996. "A Review of Alternative Expectations Regimes in Commodity Markets: Specification, Estimation, and Hypothesis Testing Using Structural Models," Agricultural and Resource Economics Review, Cambridge University Press, vol. 25(2), pages 213-231, October.
    8. Sebri, Maamar, 2009. "La Zone Méditerranéenne Face à la Pollution de L’air : Une Investigation Econométrique [The Mediterranean Zone in front of Air pollution: an Econometric Investigation]," MPRA Paper 32382, University Library of Munich, Germany.
    9. Kapteyn, Arie & Kleinjans, Kristin J. & van Soest, Arthur, 2009. "Intertemporal consumption with directly measured welfare functions and subjective expectations," Journal of Economic Behavior & Organization, Elsevier, vol. 72(1), pages 425-437, October.
    10. Dallas S. Batten & Daniel L. Thornton, 1985. "Weighted monetary aggregates as intermediate targets," Working Papers 1985-010, Federal Reserve Bank of St. Louis.
    11. repec:hal:pseose:hal-01304131 is not listed on IDEAS
    12. Marc Lavoie & Gabriel Rodriguez & Mario Seccareccia, 2004. "Similitudes and Discrepancies in Post-Keynesian and Marxist Theories of Investment: A Theoretical and Empirical Investigation," International Review of Applied Economics, Taylor & Francis Journals, vol. 18(2), pages 127-149.
    13. Alvaro Pereira & João Jalles & Martin Andresen, 2012. "Structural change and foreign direct investment: globalization and regional economic integration," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 11(1), pages 35-82, April.
    14. Abdullah Almansour and Margaret Insley, 2016. "The Impact of Stochastic Extraction Cost on the Value of an Exhaustible Resource: An Application to the Alberta Oil Sands," The Energy Journal, International Association for Energy Economics, vol. 0(Number 2).
    15. Mutuc, Maria Erlinda M. & Rejesus, Roderick M. & Pan, Suwen & Yorobe, Jose M., Jr., 2012. "Impact Assessment of Bt Corn Adoption in the Philippines," Journal of Agricultural and Applied Economics, Southern Agricultural Economics Association, vol. 44(1), pages 1-19, February.
    16. Xu, T.T., 2012. "The role of credit in international business cycles," Cambridge Working Papers in Economics 1202, Faculty of Economics, University of Cambridge.
    17. Paul Collier & Anke Hoeffler, 2004. "Greed and grievance in civil war," Oxford Economic Papers, Oxford University Press, vol. 56(4), pages 563-595, October.
    18. Emiliya A. Lazarova, 2006. "Governance In Relation To Infant Mortality Rate: Evidence From Around The World," Annals of Public and Cooperative Economics, Wiley Blackwell, vol. 77(3), pages 385-394, September.
    19. Kapetanios, G. & Weeks, M., 2003. "Non-nested Models and the likelihood Ratio Statistic: A Comparison of Simulation and Bootstrap-based Tests," Cambridge Working Papers in Economics 0308, Faculty of Economics, University of Cambridge.
    20. Maalaoui Chun, Olfa & Dionne, Georges & François, Pascal, 2014. "Credit spread changes within switching regimes," Journal of Banking & Finance, Elsevier, vol. 49(C), pages 41-55.
    21. Hoshi, Takeo & Kiyota, Kozo, 2019. "Potential for inward foreign direct investment in Japan," Journal of the Japanese and International Economies, Elsevier, vol. 52(C), pages 32-52.
    22. Esteban A. Nicolini & Fernando Ramos Palencia, 2016. "Comparing Income and Wealth Inequality in Pre-Industrial Economies: Lessons from 18th-Century Spain," Working Papers 0095, European Historical Economics Society (EHES).

    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:eee:matcom:v:43:y:1997:i:3:p:457-465. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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.