IDEAS home Printed from https://ideas.repec.org/a/spr/metcap/v4y2002i4d10.1023_a1023510400300.html

Boundary Crossing Probabilities for Scan Statistics and Their Applications to Change-Point Detection

Author

Listed:
  • Hock Peng Chan

    (National University of Singapore)

  • Tze Leung Lai

    (Stanford University)

Abstract

This paper gives a brief review of recent developments in change-point detection and in the associated boundary crossing problems. Making use of saddlepoint approximations for Markov random walks, we give further extensions of a basic result on boundary crossing probabilities, leading to detection procedures that are not too de-manding in computational and memory requirements and yet are nearly optimal under several performance criteria.

Suggested Citation

  • Hock Peng Chan & Tze Leung Lai, 2002. "Boundary Crossing Probabilities for Scan Statistics and Their Applications to Change-Point Detection," Methodology and Computing in Applied Probability, Springer, vol. 4(4), pages 317-336, December.
    • Handle: RePEc:spr:metcap:v:4:y:2002:i:4:d:10.1023_a:1023510400300
    DOI: 10.1023/A:1023510400300
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1023/A:1023510400300
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1023/A:1023510400300?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. Bai, Jushan, 1999. "Likelihood ratio tests for multiple structural changes," Journal of Econometrics, Elsevier, vol. 91(2), pages 299-323, August.
    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. Hansen, Peter Reinhard, 2003. "Structural changes in the cointegrated vector autoregressive model," Journal of Econometrics, Elsevier, vol. 114(2), pages 261-295, June.
    2. Juan J. Dolado & Jesús Gonzalo & Laura Mayoral, 2005. "What is what?: A simple time-domain test of long-memory vs. structural breaks," Economics Working Papers 954, Department of Economics and Business, Universitat Pompeu Fabra.
    3. Antonio E. Noriega & Lorena Medina, 2003. "Quasi purchasing power parity: Structural change in the Mexican peso/us dollar real exchange rate," Estudios Económicos, El Colegio de México, Centro de Estudios Económicos, vol. 18(2), pages 227-236.
    4. De Santis, Paola & Drago, Carlo, 2014. "Asimmetria del rischio sistematico dei titoli immobiliari americani: nuove evidenze econometriche [Systematic Risk Asymmetry of the American Real Estate Securities: Some New Econometric Evidence]," MPRA Paper 59381, University Library of Munich, Germany.
    5. Chaney, Eric, 2008. "Assessing pacification policy in Iraq: Evidence from Iraqi financial markets," Journal of Comparative Economics, Elsevier, vol. 36(1), pages 1-16, March.
    6. Davis, Richard A. & Hancock, Stacey A. & Yao, Yi-Ching, 2016. "On consistency of minimum description length model selection for piecewise autoregressions," Journal of Econometrics, Elsevier, vol. 194(2), pages 360-368.
    7. Kurozumi, Eiji & Tuvaandorj, Purevdorj, 2011. "Model selection criteria in multivariate models with multiple structural changes," Journal of Econometrics, Elsevier, vol. 164(2), pages 218-238, October.
    8. Alessandro Casini & Pierre Perron, 2018. "Structural Breaks in Time Series," Boston University - Department of Economics - Working Papers Series WP2019-02, Boston University - Department of Economics.
    9. Lajos Horváth & Gregory Rice, 2014. "Extensions of some classical methods in change point analysis," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(2), pages 219-255, June.
    10. repec:bge:wpaper:82 is not listed on IDEAS
    11. Funke, Michael & Niebuhr, Annekatrin, 2005. "Threshold effects and regional economic growth--evidence from West Germany," Economic Modelling, Elsevier, vol. 22(1), pages 61-80, January.
    12. Mohitosh Kejriwal, 2020. "A Robust Sequential Procedure for Estimating the Number of Structural Changes in Persistence," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 82(3), pages 669-685, June.
    13. Dominique Guégan & Philippe Peretti, 2013. "An omnibus test to detect time-heterogeneity in time series," Computational Statistics, Springer, vol. 28(3), pages 1225-1239, June.
    14. Nuno Sobreiray & Luis C. Nunesz & Paulo M. M. Rodriguesz, 2012. "Neoclassical, semi-endogenous or endogenous growth theory? Evidence based on new structural change tests," Business and Economics Working Papers 153, Unidade de Negocios e Economia, Insper.
    15. repec:bge:wpaper:258 is not listed on IDEAS
    16. repec:pri:cepsud:141rosen is not listed on IDEAS
    17. Travaglini, Guido, 2007. "The U.S. Dynamic Taylor Rule With Multiple Breaks, 1984-2001," MPRA Paper 3419, University Library of Munich, Germany, revised 15 Jun 2007.
    18. Jeffrey C. Fuhrer, 2006. "Intrinsic and Inherited Inflation Persistence," International Journal of Central Banking, International Journal of Central Banking, vol. 2(3), September.
    19. Erfani, Alireza & Abbasi, Saeed, 2018. "The Effect of Monetary Policy on Regime Changes of Financial Assets," Journal of Money and Economy, Monetary and Banking Research Institute, Central Bank of the Islamic Republic of Iran, vol. 13(3), pages 319-341, July.
    20. Duarte, A. & Venetis, I. & Payá, I., 2004. "Curva de rendimientos y crecimiento de la producción real en la UEM: eficiencia y estabilidad predictiva./Yield Curve and Real Output Growth in the EMU: Efficiency and Predictive Stability," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 22, pages 1-21, Abril.
    21. Jushan Bai & Pierre Perron, 2003. "Computation and analysis of multiple structural change models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(1), pages 1-22.
    22. Nuno Sobreira & Luis C. Nunes & Paulo M. M. Rodrigues, 2014. "Characterizing Economic Growth Paths Based On New Structural Change Tests," Economic Inquiry, Western Economic Association International, vol. 52(2), pages 845-861, April.
    23. Venkata Jandhyala & Stergios Fotopoulos & Ian MacNeill & Pengyu Liu, 2013. "Inference for single and multiple change-points in time series," Journal of Time Series Analysis, Wiley Blackwell, vol. 34(4), pages 423-446, July.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:spr:metcap:v:4:y:2002:i:4:d:10.1023_a:1023510400300. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.