IDEAS home Printed from https://ideas.repec.org/a/bla/jtsera/v16y1995i3p339-353.html
   My bibliography  Save this article

Results On Estimation And Testing For A Unit Root In The Nonstationary Autoregressive Moving‐Average Model

Author

Listed:
  • Sook Fwe Yap
  • Gregory C. Reinsel

Abstract

. We review the limiting distribution theory for Gaussian estimation of the univariate autoregressive moving‐average (ARMA) model in the presence of a unit root in the autoregressive (AR) operator, and present the asymptotic distribution of the associated likelihood ratio (LR) test statistic for testing for a unit root in the ARMA model. The finite sample properties of the LR statistic as well as other unit root test procedures for the ARMA model are examined through a limited simulation study. We conclude that, for practical empirical work that relies on standard computations, the LR test procedure generally performs better than other standard procedures in the presence of a substantial moving‐average component in the ARMA model.

Suggested Citation

  • Sook Fwe Yap & Gregory C. Reinsel, 1995. "Results On Estimation And Testing For A Unit Root In The Nonstationary Autoregressive Moving‐Average Model," Journal of Time Series Analysis, Wiley Blackwell, vol. 16(3), pages 339-353, May.
    • Handle: RePEc:bla:jtsera:v:16:y:1995:i:3:p:339-353
    DOI: 10.1111/j.1467-9892.1995.tb00238.x
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/j.1467-9892.1995.tb00238.x
    Download Restriction: no
    File URL: https://libkey.io/10.1111/j.1467-9892.1995.tb00238.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. Dickey, David A & Fuller, Wayne A, 1981. "Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root," Econometrica, Econometric Society, vol. 49(4), pages 1057-1072, June.
    2. Schwert, G William, 2002. "Tests for Unit Roots: A Monte Carlo Investigation," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 5-17, January.
    3. Dolado, Juan J. & Hidalgo-Moreno, Javier, 1990. "The Asymptotic Distribution of the Iterated Gauss-Newton Estimators of an ARIMA Process," Econometric Theory, Cambridge University Press, vol. 6(04), pages 490-494, December.
    4. Pantula, Sastry G. & Hall, Alastair, 1991. "Testing for unit roots in autoregressive moving average models : An instrumental variable approach," Journal of Econometrics, Elsevier, vol. 48(3), pages 325-353, June.
    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. Matteo Barigozzi & Giuseppe Cavaliere & Lorenzo Trapani, 2024. "Inference in Heavy-Tailed Nonstationary Multivariate Time Series," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 119(545), pages 565-581, January.
    2. Müller, Christian & Hahn, Elke, 2000. "Money demand in Europe: Evidence from the past," SFB 373 Discussion Papers 2000,35, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    3. Shin, Dong Wan & So, Beong-Soo, 1997. "Semiparametric unit root tests based on symmetric estimators," Statistics & Probability Letters, Elsevier, vol. 33(2), pages 177-184, April.
    4. Taiyeong Lee & David A. Dickey, 2004. "Limiting distributions of unconditional maximum likelihood unit root test statistics in seasonal time–series models," Journal of Time Series Analysis, Wiley Blackwell, vol. 25(4), pages 551-561, July.
    5. Neil Kellard & Denise Osborn & Jerry Coakley & Marcus J. Chambers, 2015. "Testing for a Unit Root in a Near-Integrated Model with Skip-Sampled Data," Journal of Time Series Analysis, Wiley Blackwell, vol. 36(5), pages 630-649, September.
    6. Ismael Sánchez, 2004. "Implementing unit roost tests in ARMA models of unknow order," Statistical Papers, Springer, vol. 45(2), pages 249-266, April.
    7. Ling, Shiqing & Zhu, Ke & Yee, Chong Ching, 2013. "Diagnostic checking for non-stationary ARMA models with an application to financial data," The North American Journal of Economics and Finance, Elsevier, vol. 26(C), pages 624-639.

    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. José Angel Roldán Casas & Rafaela Dios-Palomares, 2004. "A Strategy for Testing the Unit Root in AR(1) Model with Intercept. A Monte Carlo Experiment," Economic Working Papers at Centro de Estudios Andaluces E2004/37, Centro de Estudios Andaluces.
    2. Perron, Pierre, 1992. "Racines unitaires en macroéconomie : le cas d’une variable," L'Actualité Economique, Société Canadienne de Science Economique, vol. 68(1), pages 325-356, mars et j.
    3. Bierens, H.J. & Broersma, L., 1991. "The relation between unemployment and interest rate : some international evidence," Serie Research Memoranda 0112, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    4. Vasudeva N. R. Murthy & Emmanuel Anoruo, 2009. "Are Per Capita Real GDP Series in African Countries Non-stationary or Non-linear? What does Empirical Evidence Reveal?," Economics Bulletin, AccessEcon, vol. 29(4), pages 2492-2504.
    5. M. T. Alguacil & V. Orts, 2003. "Inward Foreign Direct Investment and Imports in Spain," International Economic Journal, Taylor & Francis Journals, vol. 17(3), pages 19-38.
    6. Michel Simioni & Frédéric Gonzales & Patrice Guillotreau & Laurent Le Grel, 2013. "Detecting Asymmetric Price Transmission with Consistent Threshold along the Fish Supply Chain," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 61(1), pages 37-60, March.
    7. Fredj Jawadi & Catherine Bruneau & Nadia Sghaier, 2009. "Nonlinear Cointegration Relationships Between Non‐Life Insurance Premiums and Financial Markets," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 76(3), pages 753-783, September.
    8. Chowdhury, Rosen & Cook, Steve & Watson, Duncan, 2023. "Reconsidering the relationship between health and income in the UK," Social Science & Medicine, Elsevier, vol. 332(C).
    9. Eva Liljeblom & Sabur Mollah & Patrik Rotter, 2015. "Do dividends signal future earnings in the Nordic stock markets?," Review of Quantitative Finance and Accounting, Springer, vol. 44(3), pages 493-511, April.
    10. Johannes W. Fedderke, 2022. "Identifying steady‐state growth and inflation in the South African economy, 1960–2020," South African Journal of Economics, Economic Society of South Africa, vol. 90(3), pages 279-300, September.
    11. Singh, Tarlok, 2014. "On the regime-switching and asymmetric dynamics of economic growth in the OECD countries," Research in Economics, Elsevier, vol. 68(2), pages 169-192.
    12. Allison Zhou & Carl Bonham & Byron Gangnes, 2007. "Modeling the supply and demand for tourism: a fully identified VECM approach," Working Papers 200717, University of Hawaii at Manoa, Department of Economics.
    13. Sandrine Lardic & Valérie Mignon, 2004. "Fractional cointegration and the term structure," Empirical Economics, Springer, vol. 29(4), pages 723-736, December.
    14. Yau, Hwey-Yun & Nieh, Chien-Chung, 2006. "Interrelationships among stock prices of Taiwan and Japan and NTD/Yen exchange rate," Journal of Asian Economics, Elsevier, vol. 17(3), pages 535-552, June.
    15. Maurer, Rainer, 1995. "Is economic growth a random walk?," Kiel Working Papers 677, Kiel Institute for the World Economy (IfW Kiel).
    16. Dan H. Andersen & Hans-Joachim Voth, 1997. "Neutrality and Mediterranean Shipping Under Danish Flag, 1750-1807," Oxford University Economic and Social History Series _018, Economics Group, Nuffield College, University of Oxford.
    17. Johannes W. Fedderke, 2022. "Identifying supply and demand shocks in the South African Economy, 1960–2020," South African Journal of Economics, Economic Society of South Africa, vol. 90(3), pages 349-389, September.
    18. Saffet Akdag & Ömer İskenderoglu & Andrew Adewale Alola, 2020. "The volatility spillover effects among risk appetite indexes: insight from the VIX and the rise," Letters in Spatial and Resource Sciences, Springer, vol. 13(1), pages 49-65, April.
    19. Singh, Tarlok, 2010. "Does domestic saving cause economic growth? A time-series evidence from India," Journal of Policy Modeling, Elsevier, vol. 32(2), pages 231-253, March.
    20. Dimitrios Dadakas & Christos Karpetis & Athanasios Fassas & Erotokritos Varelas, 2016. "Sectoral Differences in the Choice of the Time Horizon during Estimation of the Unconditional Stock Beta," IJFS, MDPI, vol. 4(4), pages 1-13, December.

    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:jtsera:v:16:y:1995:i:3:p:339-353. 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: http://www.blackwellpublishing.com/journal.asp?ref=0143-9782 .

    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.