IDEAS home Printed from https://ideas.repec.org/a/taf/apeclt/v9y2002i11p749-752.html
   My bibliography  Save this article

Higher-order residual analysis for AR-ARCH models with the TR test

Author

Listed:
  • Jorge Belaire-Franch
  • Dulce Contreras

Abstract

Ramsey and Rothman (1996) design a statistical device to test for time reversibility (TR test). They claim that their procedure is not powerful against ARCH-type alternatives, which also allows Rothman (1998) to propose a strategy based on the TR test to detect bilinear and threshold autoregressive (TAR) models. However, this work shows through Monte Carlo analysis that the size of the TR test may be seriously distorted by this class of uncorrelated non-i.i.d. processes, and not necessarily time irreversible.

Suggested Citation

  • Jorge Belaire-Franch & Dulce Contreras, 2002. "Higher-order residual analysis for AR-ARCH models with the TR test," Applied Economics Letters, Taylor & Francis Journals, vol. 9(11), pages 749-752.
    • Handle: RePEc:taf:apeclt:v:9:y:2002:i:11:p:749-752
    DOI: 10.1080/13504850210127263
    as

    Download full text from publisher

    File URL: http://www.informaworld.com/openurl?genre=article&doi=10.1080/13504850210127263&magic=repec&7C&7C8674ECAB8BB840C6AD35DC6213A474B5
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/13504850210127263?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. Rothman Philip, 1997. "FORTRAN Programs for Running the TR Test: A Guide and Examples," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 1(4), pages 1-8, January.
    2. Ramsey, James B & Rothman, Philip, 1996. "Time Irreversibility and Business Cycle Asymmetry," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 28(1), pages 1-21, February.
    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. Steven Cook & Alan Speight, 2006. "International Business Cycle Asymmetry and Time Irreversible Nonlinearities," Journal of Applied Statistics, Taylor & Francis Journals, vol. 33(10), pages 1051-1065.
    2. Steven Cook & Alan Speight, 2007. "Time Irreversibility in Consumers' Expenditure: An Analysis of Disaggregated Data," International Review of Applied Economics, Taylor & Francis Journals, vol. 21(4), pages 561-575.

    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. Steven Cook & Alan Speight, 2006. "International Business Cycle Asymmetry and Time Irreversible Nonlinearities," Journal of Applied Statistics, Taylor & Francis Journals, vol. 33(10), pages 1051-1065.
    2. Steven Cook & Alan Speight, 2007. "Time Irreversibility in Consumers' Expenditure: An Analysis of Disaggregated Data," International Review of Applied Economics, Taylor & Francis Journals, vol. 21(4), pages 561-575.
    3. Toshiya Ishikawa, 2004. "Technology Diffusion and Business Cycle Asymmetry," DEGIT Conference Papers c009_016, DEGIT, Dynamics, Economic Growth, and International Trade.
    4. Mohamed Osman & Ariful Hoque & Kamrul Hassan, 2016. "Business Cycle Asymmetries and Nonlinearity in UAE Macroeconomic Time Series," Australian Economic Papers, Wiley Blackwell, vol. 55(4), pages 476-490, December.
    5. Rothman Philip A, 2008. "Reconsideration of the Markov Chain Evidence on Unemployment Rate Asymmetry," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 12(3), pages 1-18, September.
    6. Enders, Walter & Siklos, Pierre L, 2001. "Cointegration and Threshold Adjustment," Journal of Business & Economic Statistics, American Statistical Association, vol. 19(2), pages 166-176, April.
    7. Oleg Korenok & Bruce Mizrach, 2004. "The Microeconomics of Macroeconomic Asymmetries: Sectoral Driving Forces and Firm Level Characteristics," Computing in Economics and Finance 2004 266, Society for Computational Economics.
    8. Philip Rothman, "undated". "Table of Contents, List of Contributors, and Introduction to NONLINEAR TIME SERIES ANALYSIS OF ECONOMIC AND FINANCIAL DATA, Kluwer Academic Press, edited," Working Papers 9812, East Carolina University, Department of Economics.
    9. Chen, Yi-Ting & Chou, Ray Y. & Kuan, Chung-Ming, 2000. "Testing time reversibility without moment restrictions," Journal of Econometrics, Elsevier, vol. 95(1), pages 199-218, March.
    10. McCausland, William J., 2007. "Time reversibility of stationary regular finite-state Markov chains," Journal of Econometrics, Elsevier, vol. 136(1), pages 303-318, January.
    11. Sensier, M. & van Dijk, D.J.C., 2001. "Short-term volatility versus long-term growth: evidence in US macroeconomic time series," Econometric Institute Research Papers EI 2001-11, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    12. Zacharias Psaradakis & Marián Vávra, 2022. "Using Triples to Assess Symmetry Under Weak Dependence," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 40(4), pages 1538-1551, October.
    13. Gilles Zumbach, 2007. "Time reversal invariance in finance," Papers 0708.4022, arXiv.org.
    14. Marlon Fritz & Thomas Gries & Yuanhua Feng, 2019. "Growth Trends and Systematic Patterns of Booms and Busts‐Testing 200 Years of Business Cycle Dynamics," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 81(1), pages 62-78, February.
    15. Francesco Giancaterini & Alain Hecq & Claudio Morana, 2022. "Is Climate Change Time-Reversible?," Econometrics, MDPI, vol. 10(4), pages 1-18, December.
    16. Dijk, Dick van & Franses, Philip Hans, 1999. "Modeling Multiple Regimes in the Business Cycle," Macroeconomic Dynamics, Cambridge University Press, vol. 3(3), pages 311-340, September.
    17. Beare, Brendan K. & Seo, Juwon, 2014. "Time Irreversible Copula-Based Markov Models," Econometric Theory, Cambridge University Press, vol. 30(5), pages 923-960, October.
    18. Philip Rothman, 1999. "Time Series Evidence on Whether Adjustment to Long-Run Equilibrium is Asymmetric," Working Papers 9904, East Carolina University, Department of Economics.
    19. Banu Tanrıöver & Rahmi Yamak, 2015. "Business Cycle Asymmetry: Deepness and Steepness in Turkey," Romanian Economic Journal, Department of International Business and Economics from the Academy of Economic Studies Bucharest, vol. 18(58), pages 81-96, December.
    20. Gries Thomas & Fritz Marlon & Feng Yuanhua, 2017. "Slow Booms and Deep Busts: 160 Years of Business Cycles in Spain," Review of Economics, De Gruyter, vol. 68(2), pages 153-166, August.

    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:taf:apeclt:v:9:y:2002:i:11:p:749-752. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/RAEL20 .

    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.