IDEAS home Printed from https://ideas.repec.org/a/taf/gnstxx/v23y2011i2p547-565.html
   My bibliography  Save this article

Testing symmetry of a nonparametric bivariate regression function

Author

Listed:
  • Melanie Birke
  • Holger Dette
  • Kristin Stahljans

Abstract

We propose a test for symmetry of a regression function with a bivariate predictor based on the L2 distance between the original function and its reflection. This distance is estimated by kernel methods and it is shown that under the null hypothesis as well as under the alternative the test statistic is asymptotically normally distributed. The finite sample properties of a bootstrap version of this test are investigated by means of a simulation study and a possible application in detecting asymmetries in grey-scale images is discussed.

Suggested Citation

  • Melanie Birke & Holger Dette & Kristin Stahljans, 2011. "Testing symmetry of a nonparametric bivariate regression function," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 23(2), pages 547-565.
    • Handle: RePEc:taf:gnstxx:v:23:y:2011:i:2:p:547-565
    DOI: 10.1080/10485252.2010.539687
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/10485252.2010.539687
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/10485252.2010.539687?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. Birke, Melanie, 2008. "Central limit theorems for the integrated squared error of derivative estimators," Statistics & Probability Letters, Elsevier, vol. 78(13), pages 1903-1913, September.
    2. Peter Hall & Peihua Qiu & Christian Rau, 2008. "Tracking Edges, Corners and Vertices in an Image," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 35(1), pages 1-17, March.
    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. Birke, Melanie & Bissantz, Nicolai, 2012. "Testing for symmetries in multivariate inverse problems," Journal of Multivariate Analysis, Elsevier, vol. 109(C), pages 236-253.

    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:23:y:2011:i:2:p:547-565. 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.