IDEAS home Printed from https://ideas.repec.org/a/taf/gnstxx/v21y2009i1p67-84.html
   My bibliography  Save this article

Singularity estimation via structural intensity: applications and modifications

Author

Listed:
  • J. Campbell

Abstract

The problem of determining the number and location of singularities in a nonparametric setting is of significant practical and theoretical importance. In this paper, we examine an interesting new technique, the so-called strucural intensity of the wavelet modulus maxima that was recently suggested by Bigot [J. Bigot, A scale-space approach with wavelets to singularity estimation, ESAIM Probab. Statist. 9 (2005), pp. 143–164 (electronic)]. In doing so, an upper bound on the asymptotic rate of convergence for the associated estimator is determined and appropriate modifications are suggested where the empirical estimation technique is found to be inappropriate or otherwise simply left undefined. These clarifications should enable this promising tool to be employed with more confidence in future applications.

Suggested Citation

  • J. Campbell, 2009. "Singularity estimation via structural intensity: applications and modifications," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 21(1), pages 67-84.
    • Handle: RePEc:taf:gnstxx:v:21:y:2009:i:1:p:67-84
    DOI: 10.1080/10485250802449755
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/10485250802449755
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/10485250802449755?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. Heckman, Nancy E., 1992. "Bump hunting in regression analysis," Statistics & Probability Letters, Elsevier, vol. 14(2), pages 141-152, May.
    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.

      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:gnstxx:v:21:y:2009:i:1:p:67-84. 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/GNST20 .

      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.