IDEAS home Printed from https://ideas.repec.org/a/taf/apeclt/v9y2002i11p749-752.html

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

    for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    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. Kamber, Güneş & Morley, James & Wong, Benjamin, 2025. "Trend-cycle decomposition in the presence of large shocks," Journal of Economic Dynamics and Control, Elsevier, vol. 173(C).
    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. 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.
    6. Philip Rothman, 1999. "Time Series Evidence on Whether Adjustment to Long-Run Equilibrium is Asymmetric," Working Papers 9904, East Carolina University, Department of Economics.
    7. B. Jirasakuldech & Riza Emekter & Unro Lee, 2008. "Business conditions and nonrandom walk behaviour of US stocks and bonds returns," Applied Financial Economics, Taylor & Francis Journals, vol. 18(8), pages 659-672.
    8. Daiki Maki, 2005. "Asymmetric adjustment of the equilibrium relationship between the nominal interest rate and inflation rate," Economics Bulletin, AccessEcon, vol. 3(9), pages 1-8.
    9. Zacharias Psaradakis & Martin Sola, 2003. "On detrending and cyclical asymmetry," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(3), pages 271-289.
    10. George Kapetanios, 2005. "Unit‐root testing against the alternative hypothesis of up to m structural breaks," Journal of Time Series Analysis, Wiley Blackwell, vol. 26(1), pages 123-133, January.
    11. Daiki Maki & Shin-ichi Kitasaka, 2006. "The equilibrium relationship among money, income, prices, and interest rates: evidence from a threshold cointegration test," Applied Economics, Taylor & Francis Journals, vol. 38(13), pages 1585-1592.
    12. Wang, Yuanyuan & Shang, Pengjian, 2018. "A new measurement of financial time irreversibility based on information measures method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 221-230.
    13. M Sensier & D van Dijk, 2001. "Short-term Volatility Versus Long-term Growth: Evidence in US Macroeconomic Time Series," Economics Discussion Paper Series 0103, Economics, The University of Manchester.
    14. Nadal De Simone, Francisco & Clarke, Sean, 2007. "Asymmetry in business fluctuations: International evidence on Friedman's plucking model," Journal of International Money and Finance, Elsevier, vol. 26(1), pages 64-85, February.
    15. Coronado-Ramírez, Semei L. & Porras-Serrano, Jesús & Venegas-Martínez, Francisco, 2011. "Estructuras no lineales en mercados eficientes: el caso IBEX-35," Sección de Estudios de Posgrado e Investigación de la Escuela Superios de Economía del Instituto Politécnico Nacional, in: Perrotini-Hernández, Ignacio (ed.), Economía: Teoría y Métodos, volume 1, chapter 8, pages 116-129, Escuela Superior de Economía, Instituto Politécnico Nacional.
    16. Belaire-Franch, Jorge & Contreras, Dulce, 2003. "Tests for time reversibility: a complementarity analysis," Economics Letters, Elsevier, vol. 81(2), pages 187-195, November.
    17. Shen, Jiancheng & Selover, David D. & Li, Chao & Yousefi, Hamed, 2022. "An ocean apart? The effects of US business cycles on Chinese business cycles," International Review of Economics & Finance, Elsevier, vol. 82(C), pages 677-698.
    18. Khurshid Kiani, 2005. "Detecting Business Cycle Asymmetries Using Artificial Neural Networks and Time Series Models," Computational Economics, Springer;Society for Computational Economics, vol. 26(1), pages 65-89, August.
    19. Xuan Tam & Eric Young & bo sun, 2014. "Regulatory Intensity, Crash Risk, and the Business Cycle," 2014 Meeting Papers 416, Society for Economic Dynamics.
    20. Yuichi Goto & Tobias Kley & Ria Van Hecke & Stanislav Volgushev & Holger Dette & Marc Hallin, 2021. "The Integrated Copula Spectrum," Working Papers ECARES 2021-29, ULB -- Universite Libre de Bruxelles.

    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.