IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v81y2011i2p236-242.html
   My bibliography  Save this article

On the polygon generated by n random points on a circle

Author

Listed:
  • Bélisle, Claude

Abstract

Let An denote the surface area of the random polygon generated by n independent points uniformly distributed on the unit circle in . We investigate the asymptotic properties of An. In particular, we show that , and that the distribution of is asymptotically normal. Similar results are obtained for the perimeter. As a byproduct of this investigation, we give a simple proof of a general convergence theorem for sums of powers of the spacings in a sample from the uniform distribution on an interval.

Suggested Citation

  • Bélisle, Claude, 2011. "On the polygon generated by n random points on a circle," Statistics & Probability Letters, Elsevier, vol. 81(2), pages 236-242, February.
    • Handle: RePEc:eee:stapro:v:81:y:2011:i:2:p:236-242
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-7152(10)00331-7
    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.

    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:81:y:2011:i:2:p:236-242. 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.