IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v77y2007i1p95-98.html
   My bibliography  Save this article

A new characterization of the normal law

Author

Listed:
  • Novak, S.Y.

Abstract

We suggest a new characterization of the normal law that highlights a property of self-normalized random variables. We show also that a distribution is symmetric if and only if self-normalized random variables drawn from are uncorrelated.

Suggested Citation

  • Novak, S.Y., 2007. "A new characterization of the normal law," Statistics & Probability Letters, Elsevier, vol. 77(1), pages 95-98, January.
    • Handle: RePEc:eee:stapro:v:77:y:2007:i:1:p:95-98
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-7152(06)00200-8
    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.

    References listed on IDEAS

    as
    1. Quine, M. P., 1999. "A central limit theorem for self-normalized products of random variables," Statistics & Probability Letters, Elsevier, vol. 43(2), pages 137-143, June.
    2. Galambos, J. & Simonelli, I., 2003. "Comments on a recent limit theorem of Quine," Statistics & Probability Letters, Elsevier, vol. 63(1), pages 89-95, May.
    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. Jacobovic, Royi & Kella, Offer, 2022. "A characterization of normality via convex likelihood ratios," Statistics & Probability Letters, Elsevier, vol. 186(C).

    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. Melnykov, Igor & Chen, John T., 2007. "A connection between self-normalized products and stable laws," Statistics & Probability Letters, Elsevier, vol. 77(17), pages 1662-1665, November.
    2. Galambos, J. & Simonelli, I., 2003. "Comments on a recent limit theorem of Quine," Statistics & Probability Letters, Elsevier, vol. 63(1), pages 89-95, May.

    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:stapro:v:77:y:2007:i:1:p:95-98. 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: 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.