IDEAS home Printed from https://ideas.repec.org/a/bla/scjsta/v27y2000i3p501-519.html
   My bibliography  Save this article

Non‐parametric Estimation for the Location of a Change‐point in an Otherwise Smooth Hazard Function under Random Censoring

Author

Listed:
  • Anestis Antoniadis
  • Irene Gijbels
  • Brenda Macgibbon

Abstract

A non‐parametric wavelet based estimator is proposed for the location of a change‐point in an otherwise smooth hazard function under non‐informative random right censoring. The proposed estimator is based on wavelet coefficients differences via an appropriate parametrization of the time‐frequency plane. The study of the estimator is facilitated by the strong representation theorem for the Kaplan–Meier estimator established by Lo and Singh (1986). The performance of the estimator is checked via simulations and two real examples conclude the paper.

Suggested Citation

  • Anestis Antoniadis & Irene Gijbels & Brenda Macgibbon, 2000. "Non‐parametric Estimation for the Location of a Change‐point in an Otherwise Smooth Hazard Function under Random Censoring," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 27(3), pages 501-519, September.
    • Handle: RePEc:bla:scjsta:v:27:y:2000:i:3:p:501-519
    DOI: 10.1111/1467-9469.00203
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/1467-9469.00203
    Download Restriction: no
    File URL: https://libkey.io/10.1111/1467-9469.00203?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
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Altun, Mustafa & Comert, Salih Vehbi, 2016. "A change-point based reliability prediction model using field return data," Reliability Engineering and System Safety, Elsevier, vol. 156(C), pages 175-184.
    2. Jingle Wang & Ming Zheng, 2012. "Wavelet detection of change points in hazard rate models with censored dependent data," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 24(3), pages 765-781.
    3. Nora M. Villanueva & Marta Sestelo & Miguel M. Fonseca & Javier Roca-Pardiñas, 2023. "seq2R: An R Package to Detect Change Points in DNA Sequences," Mathematics, MDPI, vol. 11(10), pages 1-20, May.
    4. Alessandra R. Brazzale & Helmut Küchenhoff & Stefanie Krügel & Tobias S. Schiergens & Heiko Trentzsch & Wolfgang Hartl, 2019. "Nonparametric change point estimation for survival distributions with a partially constant hazard rate," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 25(2), pages 301-321, April.
    5. Angers, Jean-Francois & MacGibbon, Brenda, 2013. "Hazard function estimation with nonnegative “wavelets”," Statistics & Probability Letters, Elsevier, vol. 83(4), pages 969-978.

    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:scjsta:v:27:y:2000:i:3:p:501-519. 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.

    We have no bibliographic references for this item. You can help adding them by using 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=0303-6898 .

    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.