IDEAS home Printed from https://ideas.repec.org/a/eee/jmvana/v100y2009i5p817-820.html
   My bibliography  Save this article

Characterization of the p-generalized normal distribution

Author

Listed:
  • Sinz, Fabian
  • Gerwinn, Sebastian
  • Bethge, Matthias

Abstract

It is a well known fact that invariance under the orthogonal group and marginal independence uniquely characterizes the isotropic normal distribution. Here, a similar characterization is provided for the more general class of differentiable bounded Lp-spherically symmetric distributions: Every factorial distribution in this class is necessarily p-generalized normal.

Suggested Citation

  • Sinz, Fabian & Gerwinn, Sebastian & Bethge, Matthias, 2009. "Characterization of the p-generalized normal distribution," Journal of Multivariate Analysis, Elsevier, vol. 100(5), pages 817-820, May.
    • Handle: RePEc:eee:jmvana:v:100:y:2009:i:5:p:817-820
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0047-259X(08)00168-1
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

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


    Cited by:

    1. Jan Eichhorn & Fabian Sinz & Matthias Bethge, 2009. "Natural Image Coding in V1: How Much Use Is Orientation Selectivity?," PLOS Computational Biology, Public Library of Science, vol. 5(4), pages 1-16, April.
    2. Fabian Sinz & Matthias Bethge, 2013. "Temporal Adaptation Enhances Efficient Contrast Gain Control on Natural Images," PLOS Computational Biology, Public Library of Science, vol. 9(1), pages 1-13, January.
    3. Shao, Yongzhao & Zhou, Ming, 2010. "A characterization of multivariate normality through univariate projections," Journal of Multivariate Analysis, Elsevier, vol. 101(10), pages 2637-2640, November.

    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:jmvana:v:100:y:2009:i:5:p:817-820. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description .

    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.