IDEAS home Printed from https://ideas.repec.org/a/eee/jmvana/v80y2002i1p67-72.html
   My bibliography  Save this article

A Simple Derivation of a Complicated Prophet Region

Author

Listed:
  • Saint-Mont, Uwe

Abstract

A straightforward proof of a result of R. P. Kertz (1986, J. Multivariate Anal.19, 88-112) is given, concerning the complete comparison of the values to a statistician, observing sequentially a sequence X1, ..., Xn of iid, [0, 1]-valued random variables, and the value to a prophet, observing that same sequence, and picking the largest observation to occur.

Suggested Citation

  • Saint-Mont, Uwe, 2002. "A Simple Derivation of a Complicated Prophet Region," Journal of Multivariate Analysis, Elsevier, vol. 80(1), pages 67-72, January.
    • Handle: RePEc:eee:jmvana:v:80:y:2002:i:1:p:67-72
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0047-259X(00)91972-9
    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. Kertz, Robert P., 1986. "Stop rule and supremum expectations of i.i.d. random variables: A complete comparison by conjugate duality," Journal of Multivariate Analysis, Elsevier, vol. 19(1), pages 88-112, June.
    Full references (including those not matched with items on IDEAS)

    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. Uwe Saint-Mont, 2017. "Comparing Different Information Levels," The Open Statistics and Probability Journal, Bentham Open, vol. 8(1), pages 7-18, July.
    2. Sebastian Perez-Salazar & Victor Verdugo, 2024. "Optimal Guarantees for Online Selection Over Time," Papers 2408.11224, arXiv.org.

    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:80:y:2002:i:1:p:67-72. 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.