IDEAS home Printed from https://ideas.repec.org/a/kap/theord/v57y2004i4p309-330.html
   My bibliography  Save this article

Experiment in the General Decision Problem

Author

Listed:
  • V. Ivanenko
  • V. Labkovskii

Abstract

We consider an experiment that conducts observations on an uncertain parameter. Experiments observing a parameter with a stochastic uncertainty have been studied exhaustively and their characteristics have been described by many authors [see, e.g., De Groot, M. (1974), Optimal Statistical Decisions (Russian translation)]. In this article, we assume that uncertainty is generated by a mechanism which is “random in the broad senseâ€\x9D [a term introduced by Kolmogorov, A.N. (1986), in Probability Theory and Mathematical Statistics (in Russia), pp. 467–471]. Ivanenko, V.I. and Labkovskii, V.A. [(1986), Dokladi Na Bolgarskata Akademiya Na Naukite SSSR 287(3), 564–567; (1990), Dokladi Na Bolgarskata Akademiya Na Naukite SSSR 310(5), 1059–1062] have proposed the apparatus of “statistical regularitiesâ€\x9D for the description of such randomness. Statistical regularity (SR) is a family of finitely additive probability distributions such that particular SRs correspond to total uncertainty, stochastic uncertainty, and other forms of uncertainty. The problem in which uncertainty is specified by SR is accordingly called General Decision Problem (GDP). We investigate informativeness and optimality of experiments in GDP. Copyright Springer 2004

Suggested Citation

  • V. Ivanenko & V. Labkovskii, 2004. "Experiment in the General Decision Problem," Theory and Decision, Springer, vol. 57(4), pages 309-330, December.
    • Handle: RePEc:kap:theord:v:57:y:2004:i:4:p:309-330
    DOI: 10.1007/s11238-005-3211-2
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s11238-005-3211-2
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s11238-005-3211-2?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    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:kap:theord:v:57:y:2004:i:4:p:309-330. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.