IDEAS home Printed from https://ideas.repec.org/a/eee/spapps/v41y1992i2p261-271.html
   My bibliography  Save this article

Random arithmetic-geometric means and random pi: observations and conjectures

Author

Listed:
  • Cohen, Joel E.
  • Liggett, Thomas M.

Abstract

Two random versions of the arithmetic-geometric mean of Gauss, Lagrange and Legendre are defined. Almost sure convergence and nondegeneracy are proved. These random arithmetic-geometric means in turn define two random versions of [pi]. Based on numerical simulations, inequalities and equalities are conjectured. A special case is proved. Further proofs are invited.

Suggested Citation

  • Cohen, Joel E. & Liggett, Thomas M., 1992. "Random arithmetic-geometric means and random pi: observations and conjectures," Stochastic Processes and their Applications, Elsevier, vol. 41(2), pages 261-271, June.
    • Handle: RePEc:eee:spapps:v:41:y:1992:i:2:p:261-271
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0304-4149(92)90126-B
    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:spapps:v:41:y:1992:i:2:p:261-271. 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/505572/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.