IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v22y1995i2p97-102.html
   My bibliography  Save this article

Lattices of random sets and progressivity

Author

Listed:
  • Gail Ivanoff, B.
  • Merzbach, Ely
  • Schiopu-Kratina, Ioana

Abstract

Random sets and stopping sets with respect to a filtration indexed by a collection of closed subsets of a Polish space are studied. In this general setting, the [sigma]-algebra of progressive sets is defined and a characterization of stopping sets is proved in terms of progressive sets.

Suggested Citation

  • Gail Ivanoff, B. & Merzbach, Ely & Schiopu-Kratina, Ioana, 1995. "Lattices of random sets and progressivity," Statistics & Probability Letters, Elsevier, vol. 22(2), pages 97-102, February.
    • Handle: RePEc:eee:stapro:v:22:y:1995:i:2:p:97-102
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0167-7152(94)00054-C
    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. Krengel, Ulrich & Sucheston, Louis, 1981. "Stopping rules and tactics for processes indexed by a directed set," Journal of Multivariate Analysis, Elsevier, vol. 11(2), pages 199-229, June.
    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. Diane Saada & Dean Slonowsky, 2006. "A Notion of Stopping Line for Set-Indexed Processes," Journal of Theoretical Probability, Springer, vol. 19(2), pages 397-410, June.

    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. Evstigneev, Igor & Taksar, Michael, 2009. "Dynamic interaction models of economic equilibrium," Journal of Economic Dynamics and Control, Elsevier, vol. 33(1), pages 166-182, January.
    2. Evstigneev, I. V. & Taksar, M., 1995. "Stochastic equilibria on graphs, II," Journal of Mathematical Economics, Elsevier, vol. 24(4), pages 383-406.
    3. Siegfried Berninghaus & Hans Günther Seifert-Vogt, 1987. "International Migration under Incomplete Information," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 123(II), pages 199-218, June.

    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:22:y:1995:i:2:p:97-102. 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.