IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v363y2006i2p469-476.html
   My bibliography  Save this article

The mis-specification of the expected rescaled adjusted range

Author

Listed:
  • Ellis, Craig

Abstract

Rescaled range analysis has regained popularity in the recent econophysics literature as a means of identifying long-term dependence in time-series data. Conclusions derived from the rescaled adjusted range statistic are conditional however upon the choice of an appropriate benchmark against which calculated results can be compared. One recent paper in Physica A by Couillard and Davison [Physica A 348 (2005) 404] concludes that the Anis and Lloyd [Biometrika 63 (1976) 111] model of the expected rescaled adjusted range is more accurate than that proposed by Peters [Fractal Market Analysis, Wiley, New York, 1994]. This finding is contrary to the evidence presented by Peters. This paper reveals significant inconsistencies in the empirical results reported by Peters, which when considered, support the conclusions of Couillard and Davison and explain the apparent contradiction in their results versus those of Peters.

Suggested Citation

  • Ellis, Craig, 2006. "The mis-specification of the expected rescaled adjusted range," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 363(2), pages 469-476.
    • Handle: RePEc:eee:phsmap:v:363:y:2006:i:2:p:469-476
    DOI: 10.1016/j.physa.2005.08.058
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437105008599
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2005.08.058?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 look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Graham Newell & Maurice Peat & Max Stevenson, 1996. "Testing for Evidence of Nonlinear Structure in Australian Real Estate Market Returns," Working Paper Series 61, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
    2. G. Wenchi Kao & Christopher K. Ma, 1992. "Memories, heteroscedasticity, and price limit in Currency futures markets," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 12(6), pages 679-692, December.
    3. Batten, Jonathan & Ellis, Craig, 1996. "Fractal structures and naive trading systems: Evidence from the spot US dollar/Japanese yen," Japan and the World Economy, Elsevier, vol. 8(4), pages 411-421, December.
    4. Cheung, Yin-Wong, 1993. "Long Memory in Foreign-Exchange Rates," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(1), pages 93-101, January.
    5. Brent W. Ambrose & Esther Ancel & Mark D. Griffiths, 1992. "The Fractal Structure of Real Estate Investment Trust Returns: The Search for Evidence of Market Segmentation and Nonlinear Dependency," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 20(1), pages 25-54, March.
    6. Peter W.B. Phillips, 1992. "Analysis," Challenge, Taylor & Francis Journals, vol. 35(1), pages 57-59, 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. Howe, John S. & Martin, Deryl W. & WoodJr., Bob G., 1999. "Much ado about nothing: Long-term memory in Pacific Rim equity markets," International Review of Financial Analysis, Elsevier, vol. 8(2), pages 139-151, June.
    2. Craig Ellis, 1998. "Modelling the Expected Value of the Classical Rescaled Adjusted Range for Long-Term Dependent Series," Working Paper Series 79, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
    3. Batten, Jonathan A. & Ellis, Craig A. & Fethertson, Thomas A., 2008. "Sample period selection and long-term dependence: New evidence from the Dow Jones index," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1126-1140.

    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. Batten, Jonathan & Ellis, Craig & Mellor, Robert, 1999. "Scaling laws in variance as a measure of long-term dependence," International Review of Financial Analysis, Elsevier, vol. 8(2), pages 123-138, June.
    2. Batten, Jonathan & Ellis, Craig & Fetherston, Thomas A., 2000. "Are long-term return anomalies illusions?: Evidence from the spot Yen," Japan and the World Economy, Elsevier, vol. 12(4), pages 337-349, December.
    3. Batten, Jonathan & Ellis, Craig, 1996. "Fractal structures and naive trading systems: Evidence from the spot US dollar/Japanese yen," Japan and the World Economy, Elsevier, vol. 8(4), pages 411-421, December.
    4. Ata Assaf, 2006. "Canadian REITs and Stock Prices: Fractional Cointegration and Long Memory," Review of Pacific Basin Financial Markets and Policies (RPBFMP), World Scientific Publishing Co. Pte. Ltd., vol. 9(03), pages 441-462.
    5. Robert J. Elliott & Tak Kuen Siu, 2014. "Strategic Asset Allocation Under a Fractional Hidden Markov Model," Methodology and Computing in Applied Probability, Springer, vol. 16(3), pages 609-626, September.
    6. Graham Newell & Maurice Peat & Max Stevenson, 1997. "Testing for Evidence of Nonlinear Structure in Daily and Weekly United Kingdom Stock and Property Market Indicies," Working Paper Series 73, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
    7. Kim Hiang Liow & James R. Webb, 2008. "Nonlinear Return Dependence in Major Real Estate Markets," Journal of Property Research, Taylor & Francis Journals, vol. 25(4), pages 285-319, December.
    8. Ellis, Craig & Wilson, Patrick, 2004. "Another look at the forecast performance of ARFIMA models," International Review of Financial Analysis, Elsevier, vol. 13(1), pages 63-81.
    9. A. Assaf, 2007. "Fractional integration in the equity markets of MENA region," Applied Financial Economics, Taylor & Francis Journals, vol. 17(9), pages 709-723.
    10. Patrick Krieger & Carsten Lausberg & Kristin Wellner, 2018. "Einblicke in die Gründe für nicht-normalverteilte Immobilienrenditen: eine explorative Untersuchung deutscher Wohnimmobilienportfolios [Insights into the reasons for non-normal real estate returns:," Zeitschrift für Immobilienökonomie (German Journal of Real Estate Research), Springer;Gesellschaft für Immobilienwirtschaftliche Forschung e. V., vol. 4(1), pages 49-79, November.
    11. Krämer, Walter & Sibbertsen, Philipp & Kleiber, Christian, 2001. "Long memory vs. structural change in financial time series," Technical Reports 2001,37, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    12. Mensi, Walid & Hammoudeh, Shawkat & Yoon, Seong-Min, 2014. "Structural breaks and long memory in modeling and forecasting volatility of foreign exchange markets of oil exporters: The importance of scheduled and unscheduled news announcements," International Review of Economics & Finance, Elsevier, vol. 30(C), pages 101-119.
    13. Robinson Kruse & Christoph Wegener, 2019. "Explosive behaviour and long memory with an application to European bond yield spreads," Scottish Journal of Political Economy, Scottish Economic Society, vol. 66(1), pages 139-153, February.
    14. Carlos P. Barros & Luis A. Gil-Alana & Zhongfei Chen, 2016. "Exchange rate persistence of the Chinese yuan against the US dollar in the NDF market," Empirical Economics, Springer, vol. 51(4), pages 1399-1414, December.
    15. Philipp Sibbertsen, 2004. "Long memory versus structural breaks: An overview," Statistical Papers, Springer, vol. 45(4), pages 465-515, October.
    16. Lui, Yiu Lim & Phillips, Peter C.B. & Yu, Jun, 2024. "Robust testing for explosive behavior with strongly dependent errors," Journal of Econometrics, Elsevier, vol. 238(2).
    17. Gerlich, Nikolas & Rostek, Stefan, 2015. "Estimating serial correlation and self-similarity in financial time series—A diversification approach with applications to high frequency data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 434(C), pages 84-98.
    18. Cheung, Yin-Wong & Erlandsson, Ulf G., 2005. "Exchange Rates and Markov Switching Dynamics," Journal of Business & Economic Statistics, American Statistical Association, vol. 23, pages 314-320, July.
    19. Cheung, Yin-Wong & Ng, Lilian K., 1996. "A causality-in-variance test and its application to financial market prices," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 33-48.
    20. Patrick K. Asea & Michael J. Dueker, 1995. "Non-monotonic long memory dynamics in black-market premia," Working Papers 1995-003, Federal Reserve Bank of St. Louis.

    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:phsmap:v:363:y:2006:i:2:p:469-476. 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/physica-a-statistical-mechpplications/ .

    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.